When two fractions have the same denominator, we say they are "like" fractions. So, which of the following pairs of numbers contain like fractions?
1/4 and 2/4 1/4 and 3/4 1/4 and 1/2
The first two pairs of numbers contain like fractions because they have the same denominator. The third pair does not contain like fractions because the denominators are different.
1/4 and 2/8
One fourth and two eighths may seem like simple fractions, but when put together, they can create some interesting problems. For example, one fourth plus two eighths can be simplified to one third. However, one third plus two eighths can NOT be simplified. This is because one fourth and two eighths are not equivalent fractions. In order to add or subtract these fractions, they must first be made into equivalent fractions. One way to make one fourth and two eighths equivalent is to find a common denominator, which in this case is eight. When the fractions are both expressed with a denominator of eight, one fourth becomes two eighths and two eighths becomes four eighths. Now that the fractions are equivalent, they can be added or subtracted. In this case, one third plus two eighths can be simplified to five eighths.
It is also possible to multiply and divide fractions that are not equivalent. For instance, one fourth multiplied by two eighths can be simplified to one eighth. This is because when fractions are multiplied, the numerators are multiplied together and the denominators are multiplied together. So, in this case, one fourth multiplied by two eighths is the same as one multiplied by two, which is two. The denominators are also multiplied together, so four times eight is thirty-two. This can be simplified to two over thirty-two, or one eighth.
Dividing fractions that are not equivalent is a little more complicated. In order to divide fractions that are not equivalent, the fraction being divided into must be turned into its reciprocal. The reciprocal of a fraction is the fraction turned upside down. So, the reciprocal of one fourth is four over one, or four. The reciprocal of two eighths is eight over two, or four. (This is the same number as the reciprocal of one fourth, because four over one is the same as one over four). Now that the fractions being divided are turned into their reciprocals, the division can be completed. One fourth divided by two eighths is the same as four over one divided by four over two, which can be simplified to two.
Although one fourth and two eighths may seem like simple fractions, they can create some interesting problems when put together. By understanding how to add, subtract, multiply, and divide fractions, even fractions that are not equivalent, these problems
3/5 and 6/10
It is often said that a good way to understand fractions is to think of them as division problems. For example, when we see the fraction 3/5, we can think of it as 3 divided by 5. This means that there are three equal pieces, and each piece is five-fifths or one-fifth of the whole. Similarly, when we see the fraction 6/10, we can think of it as 6 divided by 10. This means that there are six equal pieces, and each piece is one-tenth of the whole.
When we compare these two fractions, we can see that they are both equal to 0.6, or six-tenths. This means that they are both equal to six out of ten, or three-fifths.
We can also compare these fractions using a number line. If we put the fractions 3/5 and 6/10 on a number line, we can see that they are both equal to 0.6.
3/5 is also equal to 6/10 because both fractions have the same denominator, or bottom number. This means that they both have 10 as their bottom number. The only difference is that 3/5 has 3 as its top number, while 6/10 has 6 as its top number.
We can also compare these fractions by looking at their numerators, or top numbers. 3/5 is equal to 6/10 because both fractions have the same numerator, or top number. This means that they both have 3 as their top number. The only difference is that 3/5 has 5 as its bottom number, while 6/10 has 10 as its bottom number.
3/5 is less than 6/10 because it has a smaller numerator. This means that 3/5 is equal to 3 out of 5, or 3-fifths, while 6/10 is equal to 6 out of 10, or 6-tenths.
We can also compare these fractions using a different method, called common denominators. This method is often used when we are comparing fractions with different denominators, or bottom numbers.
To find a common denominator, we need to find a number that is divisible by both 5 and 10. The smallest number that is divisible by both 5 and 10 is 20.
We can rewrite 3/5 as 6/10 because both fractions have the same numer
1/3 and 2/6
There is a lot to unpack when it comes to the fractions 1/3 and 2/6. To start, it is worth noting that these fractions are equivalent. This means that they are both equal to one another, and represent the same value. In other words, 1/3 is equal to 2/6. This is because both fractions are equal to 1/2.
One way to think about this is to imagine two pies, each sliced into six equal pieces. One pie has one slice missing, while the other pie has two slices missing. Even though there are different amounts of pie missing, both pies are still missing the same portion of their total. In other words, both pies are missing one third of their pie.
This equivalency can be helpful when trying to add or subtract fractions that have different denominators. For example, if you were trying to add 1/3 + 1/6, you could first find an equivalent fraction for 1/6. 2/6 is an equivalent fraction for 1/6, so you could rewrite the equation as 1/3 + 2/6. Now that both fractions have the same denominator, they can be added together to get the answer 3/6.
It is also worth noting that both 1/3 and 2/6 are proper fractions. This means that the numerator (the top number in the fraction) is less than the denominator (the bottom number in the fraction). In other words, both 1/3 and 2/6 are less than 1. On the other hand, if the numerator is greater than the denominator, the fraction is called an improper fraction. For example, 3/2 is an improper fraction because 3 is greater than 2.
Lastly, it is worth mentioning that both 1/3 and 2/6 are also mixed numbers. This means that they are a combination of a whole number and a fraction. In the case of 1/3, the whole number is 1 and the fraction is 3/4. In the case of 2/6, the whole number is 2 and the fraction is 2/6.
4/7 and 8/14
4/7 and 8/14 are two very special ratios. They are what are known as "harmonic" ratios, meaning that they represent a perfect balance between two numbers. This perfect balance is what makes these two ratios so significant.
4/7 is significant because it is the simplest possible harmonic ratio. The number 4 is twice the number 2, and the number 7 is three times the number 3. This simple relationship between the numbers creates a very powerful balance that can be seen in nature, art, and music.
The 8/14 ratio is also significant because it is the most common harmonic ratio found in music. This ratio is often used in music to create a sense of harmony and balance. It is also found in many works of art, and is said to be the most pleasing ratio to the human eye.
These two ratios are just a small example of the many harmonic ratios that can be found in nature and the universe. These ratios represent a perfect balance between two numbers, and this perfect balance is what makes these ratios so significant.
Do 1/4 and 2/8 contain like fractions?
Fractions are numbers that represent a part of a whole. The number after the slash in a fraction represents the number of equal parts the whole is divided into, and the number before the slash is how many of those parts are being considered. In the fraction 1/4, for example, the 1 represents one part of the whole, and there are four equal parts in the whole. Likewise, in the fraction 2/8, the 2 represents two parts of the whole, and there are eight equal parts in the whole. So, do 1/4 and 2/8 contain like fractions?
To answer this question, we need to compare the two fractions to see if they are equal. To do this, we need to find a common denominator, which is the number of equal parts the whole is divided into. In this case, the common denominator would be 8. This is because 8 is the number of equal parts in both 2/8 and 1/4. Once we have the common denominator, we can compare the numerators, which are the numbers before the slash. In this case, the numerator of 1/4 is 1, and the numerator of 2/8 is 2. So, when we compare the two fractions, we see that 1/4 is equal to 2/8.
This means that 1/4 and 2/8 do contain like fractions.
Do 3/5 and 6/10 contain like fractions?
There are a few different ways to approach this question. Firstly, we could look at it from a purely mathematical perspective and try to find a way to determine whether or not 3/5 and 6/10 contain like fractions without actually having to do any calculations. However, this approach is not always reliable, and in this case it would probably be quite difficult to come up with a definitive answer.
Alternatively, we could simply calculate the decimal equivalents of 3/5 and 6/10 and compare the results. If the decimal equivalents are the same, then we can say for sure that the fractions are like. In this case, the decimal equivalent of 3/5 is 0.6, and the decimal equivalent of 6/10 is 0.6 as well. Therefore, we can say that 3/5 and 6/10 are like fractions.
Of course, we could also approach this question from a more general perspective and try to determine what it means for two fractions to be like. In general, we say that two fractions are like if they have the same value, regardless of their size. In other words, a fraction is like another fraction if it represents the same amount, even if the numbers involved are different.
So, in conclusion, we can say that 3/5 and 6/10 are like fractions because they have the same value, even though the numbers involved are different.
Do 1/3 and 2/6 contain like fractions?
When we are working with fractions, we are often looking for relationships between them. In many cases, we want to know if two fractions are equivalent, meaning they are the same value even though they may look different. To answer the question of whether 1/3 and 2/6 contain like fractions, we will need to determine if these two fractions are equivalent.
To start, let's look at what these fractions represent. 1/3 can be thought of as one out of three equal parts, or one part out of a whole that has been divided into three equal parts. Meanwhile, 2/6 can be thought of as two out of six equal parts, or two parts out of a whole that has been divided into six equal parts.
We can see that in both 1/3 and 2/6, the numerator (the top number in the fraction) represents the number of parts, while the denominator (the bottom number in the fraction) represents the number of equal parts that the whole has been divided into. When we are working with like fractions, we are looking for two fractions where the numerators represent the same number of parts, and the denominators represent the same number of equal parts.
We can see that 1/3 and 2/6 both have a numerator of 2 and a denominator of 6. This means that these fractions are equivalent, and therefore like fractions. We can also see this by looking at the size of the fractions - 1/3 and 2/6 are both smaller than 1, which means they are both less than one whole. This is another way of showing that these fractions are equivalent.
In conclusion, 1/3 and 2/6 are like fractions because they are equivalent. This means that they are the same value, even though they may look different.
Do 4/7 and 8/14 contain like fractions?
To determine whether or not 4/7 and 8/14 contain like fractions, we must first understand what like fractions are. Like fractions are fractions that have the same value, regardless of the size of the whole they are a part of. In other words, like fractions can be reduced to the same lowest terms. For example, 3/6 and 1/2 are like fractions because they both equal 1/2.
Now that we know what like fractions are, we can answer the question at hand. To do this, we must first reduce 4/7 and 8/14 to their lowest terms. 4/7 can be reduced to 2/7, and 8/14 can be reduced to 4/7. Since 2/7 and 4/7 are equivalent fractions, 4/7 and 8/14 contain like fractions.
What is a like fraction?
A like fraction is a fraction whose numerator and denominator have the same value. Thus, a like fraction is a fraction in which the numerator and denominator are equal.
The fraction 1/2 is a like fraction, because the numerator (1) and denominator (2) have the same value. The fraction 3/4 is also a like fraction, because the numerator (3) and denominator (4) have the same value.
Like fractions are sometimes also called unit fractions. This is because a like fraction can be written as a unit fraction. A unit fraction is a fraction in which the numerator is 1 and the denominator is a whole number.
For example, the fraction 1/2 can be written as the unit fraction 1/2. The fraction 3/4 can be written as the unit fraction 3/4.
Like fractions are sometimes also called equal fractions. This is because like fractions have the same value. For example, the fraction 1/2 has the same value as the fraction 2/4. The fraction 3/4 has the same value as the fraction 6/8.
Like fractions are easy to compare. This is because they have the same denominator. For example, to compare the fractions 1/2 and 3/4, we can look at the denominators. Both fractions have a denominator of 2. This means that they are both equal to 1/2.
Like fractions are easy to add and subtract. This is because they have the same denominator. For example, to add the fractions 1/2 and 3/4, we can add the numerators and keep the denominator the same. Thus, we have 1/2 + 3/4 = (1+3)/4 = 4/4 = 1.
Like fractions are easy to multiply and divide. This is because they can be written as unit fractions. For example, to multiply the fractions 1/2 and 3/4, we can multiply the numerators and divide the denominators. Thus, we have 1/2 x 3/4 = (1x3)/(2x4) = 3/8.
In conclusion, a like fraction is a fraction whose numerator and denominator have the same value. Like fractions are easy to compare, add, subtract, multiply, and divide.
Frequently Asked Questions
What fraction is equivalent to 1 3?
1 3 is equivalent to 3/2.
What fraction is 2 6 when reduced to lowest terms?
2 6 is equivalent to 1 3 when reduced to lowest terms because 1 x 2 = 2 and 3 x 2 = 6
How to subtract two fractions like fractions?
To subtract two fractions, we may follow the following steps: Step 1: Get the two fractions as well as their respective numerators. Step 2: Subtract the smaller numerator from the larger numerator. Step 3: Maintain the common denominator.
What are like fractions?
Like fractions are fractions with the same denominator.
What fraction is equivalent to 1/3 when simplified?
2/6, 3/9, 4/12 are all equivalent to 1/3 when simplified.
Sources
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