Add 25/4 and 21/14, Solve 6 1/4 + 1 7/14 as a fraction

Add 25/4 and 21/14

1^st number: 6 1/4, 2^nd number: 1 7/14

25/4 + 21/14 is 31/4.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 14 is 28

Next, find the equivalent fraction of both fractional numbers with denominator 28
For the 1st fraction, since 4 × 7 = 28,
25/4 = 25 × 7/4 × 7 = 175/28
Likewise, for the 2nd fraction, since 14 × 2 = 28,
21/14 = 21 × 2/14 × 2 = 42/28
Add the two like fractions:
175/28 + 42/28 = 175 + 42/28 = 217/28
217/28 simplified gives 31/4
So, 25/4 + 21/14 = 31/4
In mixed form: 73/4

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad