Add 10/14 and 72/10, Solve 10/14 + 7 2/10 as a fraction

Add 10/14 and 72/10

1^st number: 10/14, 2^nd number: 7 2/10

10/14 + 72/10 is 277/35.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 10 is 70

Next, find the equivalent fraction of both fractional numbers with denominator 70
For the 1st fraction, since 14 × 5 = 70,
10/14 = 10 × 5/14 × 5 = 50/70
Likewise, for the 2nd fraction, since 10 × 7 = 70,
72/10 = 72 × 7/10 × 7 = 504/70
Add the two like fractions:
50/70 + 504/70 = 50 + 504/70 = 554/70
554/70 simplified gives 277/35
So, 10/14 + 72/10 = 277/35
In mixed form: 732/35

MathStep (Works offline)

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