Subtract the fractions and write your answer in lowest terms.
3five-sixths – three-fourths
(1 point)
Responses
2one-sixth
2 Image with alt text: one-sixth
3one-twelfth
3 Image with alt text: one-twelfth
3The fraction is 2 over 5.
3 Image with alt text: The fraction is 2 over 5.
3one-half
3Image with alt text: one-half
To subtract the fractions 3five-sixths (written as 5/6) and three-fourths (written as 3/4), we need to find a common denominator.
The least common denominator (LCD) between 6 and 4 is 12.
Next, we need to convert both fractions to have a denominator of 12.
To convert 5/6 to a fraction with a denominator of 12, we multiply the numerator and denominator by 2:
5/6 * 2/2 = 10/12
To convert 3/4 to a fraction with a denominator of 12, we multiply the numerator and denominator by 3:
3/4 * 3/3 = 9/12
Now that both fractions have a common denominator of 12, we can subtract them:
10/12 - 9/12 = (10 - 9)/12 = 1/12
Therefore, the answer in lowest terms is 1/12.
To subtract fractions and write the answer in lowest terms, you need to follow these steps:
1. Make sure the denominators (the numbers below the fraction line) are the same. If they are different, you need to find a common denominator. In this case, the denominators are already the same, so you can move to the next step.
2. Subtract the numerators (the numbers above the fraction line). In this case, subtract 3 from 5, which gives you 2.
3. Write the result as the numerator of the new fraction, keeping the common denominator. In this case, the common denominator is 6.
So, the subtraction of the fractions 3 5/6 and 3/4 is 2 1/6, which can also be written as 2 1/6 in whole number format or 13/6 as an improper fraction.
Therefore, the answer is 2 one-sixth or 2/6.