Add 3/9 and 75/7, Solve 3/9 + 10 5/7 as a fraction

Add 3/9 and 75/7

1^st number: 3/9, 2^nd number: 10 5/7

3/9 + 75/7 is 232/21.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 7 is 63

Next, find the equivalent fraction of both fractional numbers with denominator 63
For the 1st fraction, since 9 × 7 = 63,
3/9 = 3 × 7/9 × 7 = 21/63
Likewise, for the 2nd fraction, since 7 × 9 = 63,
75/7 = 75 × 9/7 × 9 = 675/63
Add the two like fractions:
21/63 + 675/63 = 21 + 675/63 = 696/63
696/63 simplified gives 232/21
So, 3/9 + 75/7 = 232/21
In mixed form: 111/21

MathStep (Works offline)

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