Write equivalent fractions for 2/3 and 1/4 using 12 as a common denominator what is 2/3, -1/4 equals

Answer 1

To find the equivalent fractions for 2/3 and 1/4 using 12 as the common denominator, we need to multiply both the numerator and denominator of each fraction by the same number.

For 2/3, we need to multiply both the numerator and denominator by 4 to get a denominator of 12:
(2/3) * (4/4) = 8/12

For 1/4, we need to multiply both the numerator and denominator by 3 to get a denominator of 12:
(1/4) * (3/3) = 3/12

So, the equivalent fractions for 2/3 and 1/4 with a common denominator of 12 are 8/12 and 3/12, respectively.

To find the sum of 2/3 and -1/4, we need to find a common denominator for 3 and 4, which is 12.

Converting 2/3 to an equivalent fraction with a denominator of 12:
(2/3) * (4/4) = 8/12

Converting -1/4 to an equivalent fraction with a denominator of 12:
(-1/4) * (3/3) = -3/12

Now we can add the fractions:
8/12 + (-3/12) = 5/12

So, 2/3 - 1/4 equals 5/12.