Add 14/4 and 25/7, Solve 3 2/4 + 3 4/7 as a fraction

Add 14/4 and 25/7

1^st number: 3 2/4, 2^nd number: 3 4/7

14/4 + 25/7 is 99/14.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28

Next, find the equivalent fraction of both fractional numbers with denominator 28
For the 1st fraction, since 4 × 7 = 28,
14/4 = 14 × 7/4 × 7 = 98/28
Likewise, for the 2nd fraction, since 7 × 4 = 28,
25/7 = 25 × 4/7 × 4 = 100/28
Add the two like fractions:
98/28 + 100/28 = 98 + 100/28 = 198/28
198/28 simplified gives 99/14
So, 14/4 + 25/7 = 99/14
In mixed form: 71/14

MathStep (Works offline)

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