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
3 Image with alt text: one-half
To subtract the fractions, we need to find a common denominator. The common denominator of sixths and fourths is 12.
The fraction 3 five-sixths can be written as 3 * (5/6) = 15/6.
The fraction three-fourths can be written as 3 * (3/4) = 9/4.
Now, we can subtract the fractions:
15/6 - 9/4
To have the same denominator, we need to convert the fractions:
15/6 can be written as (15/6) * (2/2) = 30/12
9/4 can be written as (9/4) * (3/3) = 27/12
Now, we can subtract:
30/12 - 27/12 = 3/12 = 1/4
So, the answer is 1/4 in lowest terms.
To subtract the fractions 3 five-sixths and three-fourths, we need to make sure the denominators are the same. The least common denominator of 6 and 4 is 12.
Converting 5-sixths into twelfths: Since 6 multiplied by 2 equals 12, we multiply the numerator and denominator of 5-sixths by 2 to get 10-twelfths.
Converting three-fourths into twelfths: Since 4 multiplied by 3 equals 12, we multiply the numerator and denominator of three-fourths by 3 to get 9-twelfths.
Now, we can subtract the fractions: 10-twelfths minus 9-twelfths equals 1-twelfth.
Therefore, the answer is 1-twelfth.
To subtract fractions and write the answer in lowest terms, you need to follow these steps:
1. Find a common denominator for the fractions if they do not already have the same denominator. The common denominator is the smallest number that both denominators can divide into evenly. In this case, the common denominator for 6 and 4 is 12.
2. Convert both fractions to have the common denominator. To do this, multiply the numerator and denominator of each fraction by the same number that will make the denominator equal to the common denominator. For example, for five-sixths, multiply both the numerator and denominator by 2 to get 10/12. Similarly, for three-fourths, multiply both the numerator and denominator by 3 to get 9/12.
3. Now that both fractions have the same denominator, subtract the numerators. In this case, 10/12 minus 9/12 equals 1/12.
4. Simplify the result by reducing the fraction to its lowest terms. In the given options, the simplified answer is one-twelfth (1/12).
Therefore, the correct answer is 3one-twelfth.