When we divide fractions, we are essentially finding how many times one fraction is contained within another. In other words, we are finding out how many "pieces" of one fraction fit into another.
To divide fractions, we use the following steps:
1) We invert the divisor (the fraction we are dividing by) and multiply it by the dividend (the fraction we are dividing into).
2) We simplify the resulting fraction (if necessary).
3) We calculate the division as if it were whole numbers.
Let's apply these steps to the problem at hand:
1) 3/4 divided by 1/6 can be rewritten as 3/4 x 6/1.
2) Simplifying, this becomes 18/4.
3) Dividing 18 by 4 gives us 4 with a remainder of 2, so 3/4 divided by 1/6 equals 4 2/3.
Additional reading: How Much Is a 2 by 6 by 16?
What is the answer to 3/4 divided by 1/6?
The answer to 3/4 divided by 1/6 is 6.
Explore further: 6 Equals 7
How do you divide fractions?
A fraction is a number that represents a part of a whole. When you divide fractions, you are finding how many parts there are in a whole. To divide fractions, you need to find the reciprocal of the divisor (the number you are dividing by) and then multiply the two fractions.
The reciprocal of a number is the number flip-flopped. For example, the reciprocal of 3 is 1/3, the reciprocal of 5 is 1/5, the reciprocal of 7 is 1/7, and so on. You can think of the reciprocal as the "inverse" of the number.
To divide fractions, take the reciprocal of the divisor (the number you are dividing by), and then multiply the two fractions.
For example, let's say you want to divide 1/2 by 3/4. To do this, you would take the reciprocal of the divisor (in this case, 3/4), which is 4/3, and then multiply 1/2 by 4/3. This gives you the answer of 2/6.
Here's another example. Say you want to divide 1/4 by 3/5. To do this, you would take the reciprocal of the divisor (3/5), which is 5/3, and then multiply 1/4 by 5/3. This gives you the answer of 1/12.
As you can see, dividing fractions is a matter of finding the reciprocal of the divisor and then multiplying the two fractions. With a little practice, you'll be dividing fractions like a pro!
On a similar theme: 1 2 Divided
What is a fraction?
In mathematics, a fraction is a number that represents a part of a whole. It is usually written as a part of a whole number or as a decimal. For example, the fraction one-half can be written as 1/2 or 0.5. When a fraction is written as a part of a whole number, it is called a proper fraction. When a fraction is written as a decimal, it is called an improper fraction.
A fraction represents a part of a whole. The whole is divided into equal parts, and the fraction represents how many parts there are. The numerator (the number above the line) tells how many parts there are, and the denominator (the number below the line) tells how many parts there are in the whole. For example, the fraction one-half (1/2) represents one part of a whole that has been divided into two equal parts.
A proper fraction is a fraction in which the numerator is less than the denominator. For example, the fraction one-half (1/2) is a proper fraction because the numerator (1) is less than the denominator (2).
An improper fraction is a fraction in which the numerator is greater than the denominator. For example, the fraction three-halves (3/2) is an improper fraction because the numerator (3) is greater than the denominator (2).
A mixed number is a whole number and a proper fraction written together. For example, the mixed number one and one-half (1 1/2) is equal to the proper fraction three-halves (3/2).
The word "fraction" comes from the Latin word "fractus," which means "broken." This is because a fraction is a part of a whole that has been broken off from the whole.
If this caught your attention, see: 1 16 Scale Rc Car
What is 3/4?
The fraction 3/4 is equal to three quarters. It can also be written as 0.75, which is three quarters expressed as a decimal. When expressed as a percentage, 3/4 is equal to 75%.
In an fraction, the number before the slash is called the numerator, while the number after the slash is called the denominator. The numerator tells us how many parts of the whole we are dealing with, while the denominator tells us how many equal parts the whole is divided into. So in the fraction 3/4, the numerator is 3, which means we are dealing with 3 parts of the whole, while the denominator 4 tells us that the whole is divided into 4 equal parts.
To find out how many parts of the whole are represented by the fraction 3/4, we need to divide the numerator by the denominator. In other words, we need to 3 divide by 4. When we do this, we get the answer 0.75, which as we mentioned before is equal to three quarters.
We can also use the fraction 3/4 to express a percentage. To do this, we need to multiply the fraction by 100. So 3/4 multiplied by 100 is equal to 75%.
To summarise, the fraction 3/4 is equal to three quarters, 0.75 expressed as a decimal, and 75% expressed as a percentage.
A fresh viewpoint: How to Get 3/4 Out of 1/4?
What is 1/6?
One sixth is equal to 0.1666666667, or 1/6. To find one sixth of a number, divide the number by 6.
For example, if someone wants to find one sixth of 120, they would divide 120 by 6 to get 20.
One sixth of a number can also be found by multiplying the number by 0.1666666667, or by 1/6.
For example, if someone wants to find one sixth of 120, they would multiply 120 by 0.1666666667 to get 20, or they would multiply 120 by 1/6 to also get 20.
Worth a look: Which Is Bigger 1/10 or 1/6 Carat?
How do you divide mixed fractions?
Mixed fractions are fractions that have a whole number and a fraction component, such as 3 1/2 or 5 3/4. Dividing mixed fractions is a two-step process. First, divide the whole number component, and then divide the fraction component.
To divide the whole number component, simply divide the numbers as if they were regular whole numbers. For example, to divide 3 1/2 by 2, you would divide 3 by 2 to get 1 1/2.
To divide the fraction component, divide the numerators (top numbers) and then divide the denominators (bottom numbers). For example, to divide 3 1/2 by 2, you would divide 1 by 2 to get 1/4, and then add that result to the whole number component of 1 1/2 to get the final answer of 1 3/4.
Recommended read: Parallels Divide
What is a mixed fraction?
A mixed fraction is a fraction that has a whole number and a fractional part. For example, if someone has 2 1/2 apples, they have two apples and a half apple. The whole number is always written first, followed by a space, and then the fractional part. The fractional part is always written with a numerator (top number) and a denominator (bottom number), separated by a slash. In the example above, the numerator is 1 and the denominator is 2.
Mixed fractions are also sometimes called mixed numbers. This can be confusing because a mixed number can also mean a whole number and a fractional part together, without the space in between. So 3 1/2 can be read as three and a half, or as a mixed number. When written as a mixed number, the whole number and fractional part are usually separated by a hyphen instead of a space. So 3 1/2 would be written as 3-1/2.
Mixed fractions are used when someone wants to express a quantity that is not a whole number, but is greater than 0. For example, someone might want to say that they have 1/2 a pound of flour, or 2 1/4 cups of sugar. These quantities can be difficult to express using only whole numbers or only fractions, so mixed fractions are often used instead.
Mixed fractions can be written with different denominators, depending on how precise someone wants to be. For example, someone might want to say they have 1 1/2 hours, or 1 hour and 30 minutes. In this case, the mixed fraction would be written as 1 1/2 or 1 30/60. The first mixed fraction is less precise because it is rounded to the nearest half hour. The second mixed fraction is more precise because it specifies that the person has 1 hour and 30 minutes, or 90 minutes.
Mixed fractions can be converted to improper fractions, and vice versa. To convert a mixed fraction to an improper fraction, simply multiply the whole number part by the denominator and add it to the numerator. So, 3 1/2 would be converted to 7/2. To convert an improper fraction to a mixed fraction, divide the numerator by the denominator and write the whole number part first, followed by a space, and then the fractional part. So, 7/2 would be converted to 3 1/2.
If this caught your attention, see: Bigger 1 4
What is the answer to 3/4 divided by 1/6 in simplest form?
The answer to 3/4 divided by 1/6 in simplest form is 6.
A different take: 7 Equals 6
Frequently Asked Questions
How do you teach how to divide fractions?
Here are three simple steps to follow when teaching how to divide fractions: 1. Flip the divisor (the number you're dividing by) into a reciprocal. This will make it easy to change the division sign into a multiplication sign. 2. Change the division sign into a multiplication sign and multiply. This will help students see that they're multiplying two numbers together.
How do you divide a fraction by a reciprocal?
1. Turn the second fraction (the one you want to divide by) upside down (this is now a reciprocal). 2. Multiply the first fraction by that reciprocal. 3. Simplify the fraction (if needed).
Is there a shortcut for dividing fractions?
Yes, there is a shortcut for dividing fractions that you can use when solving problems. This shortcut involves flipping the divisor into a reciprocal, changing the division sign to a multiplication symbol, and multiplying.
What is a fraction and how to write it?
A fraction consists of two numbers, the numerator and denominator. The numerator is the top number and the denominator is the bottom number. The slash (/) separates the numerator from the denominator.
How many parts does a fraction have?
A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator.
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