What Is the Sum of 1/9 2/3 and 5/18?

This mathematical question is asking for the total sum of three fractions. The fractions that are being added together are 1/9, 2/3, and 5/18. This question can be answered by finding the lowest common multiple of the three fractions, also known as the least common denominator (LCD). The LCD of the fractions 1/9, 2/3, and 5/18 is 108. To find the LCD, we must first list all the prime factors of each number. For 1/9, the prime factors are 3 x 3. 2/3 can be reduced to 2/2 x 3/3, so the prime factors are 2 and 3. For 5/18, the prime factors are 2 x 3 x 3. To find the LCD, we need to multiply the highest number of each factor, which in this case would be 3 x 3 x 3 = 27. All three fractions can now be rewritten using this LCD to make their denominators equivalent. For 1/9, we will multiply the numerator (1) and denominator (9) by 12, according to the cross product method, which will give us 12/108. To rewrite 2/3, we will multiply the numerator (2) and denominator (3) by 36, resulting in 72/108. Finally, for 5/18, we will multiply the numerator (5) and denominator (18) by 6, resulting in 5/108. Now that all the denominators of the fractions are equal, we can add all the numerators together to find the total sum of the fractions. 12 + 72 + 5 = 89. Therefore, the total sum of 1/9, 2/3, and 5/18 is 89/108.

The result of adding 1/9 is an infinite decimal. In mathematics, adding 1/9 is referred to as a decimal division, and the resulting decimal is an infinite decimal. The decimal is infinite because when dividing the numerator (1) by the denominator (9), the division never stops. The answer is always 0.11111111... and it continues forever.

When adding 1/9, the same consequence remains constant regardless of the context. For instance, when adding 1/9 to 10 or to 100, the same result will be obtained – an infinite decimal. The same holds true for any number that is added to 1/9.

When working with fractions, adding 1/9 can be done in either of two ways: by converting 1/9 to its equivalent decimal, or by recognizing that 1/9 is an equivalent of 0.1 (which is already expressed in decimal form). By adding 1/9 to 10, for example, 10 + 0.1 can be used.

When adding 1/9 to 10, the result is 0.11111111.... The decimal may appear to repeat endlessly, but this is only a visual representation of the decimal that is actually an irrational number, which means it cannot be expressed using a finite number of digits. The calculation of 1 + 1/9 is the same as 10/9, which is equal to the decimal 1.11111111....

This result – an infinite decimal – is the same regardless of whether it’s added to 10 or to any other number. By adding 1/9 to 10, for example, the sum is 10.11111111.... When adding 1/9 to 100, the sum is 100.11111111....

In conclusion, the result of adding 1/9 is an infinite decimal, regardless of what number it is added to. The decimal is infinite because the division of 1 by 9 never stops, as the answer is always 0.11111111... and it continues forever. Of course, the decimal can be approximated using a finite number of digits, but only the number itself is truly irrational.