Perform the indicated operation. 3/4 - 9/14
To perform the operation, we need to find a common denominator for both fractions.
The prime factors of 4 are 2 and 2.
The prime factors of 14 are 2 and 7.
The common denominator is 2 * 2 * 7 = 28.
Now, we can rewrite the fractions using the common denominator:
3/4 = (3 * 7) / (4 * 7) = 21/28
9/14 = (9 * 2) / (14 * 2) = 18/28
Now, we can subtract the fractions:
21/28 - 18/28 = (21 - 18) / 28 = 3/28
Therefore, 3/4 - 9/14 = 3/28.
To subtract fractions, you need to have a common denominator. In this case, the least common denominator is 28.
So, you need to rewrite both fractions with a denominator of 28.
For the first fraction, multiply both the numerator and denominator by 7 to get:
(3/4) x (7/7) = 21/28
For the second fraction, multiply both the numerator and denominator by 2 to get:
(9/14) x (2/2) = 18/28
Now that both fractions have the same denominator, you can subtract the numerators:
21/28 - 18/28 = (21 - 18)/28 = 3/28
Therefore, 3/4 - 9/14 is equal to 3/28.