Add 75/9 and 16/7, Solve 8 3/9 + 2 2/7 as a fraction

Add 75/9 and 16/7

1^st number: 8 3/9, 2^nd number: 2 2/7

75/9 + 16/7 is 223/21.

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,
75/9 = 75 × 7/9 × 7 = 525/63
Likewise, for the 2nd fraction, since 7 × 9 = 63,
16/7 = 16 × 9/7 × 9 = 144/63
Add the two like fractions:
525/63 + 144/63 = 525 + 144/63 = 669/63
669/63 simplified gives 223/21
So, 75/9 + 16/7 = 223/21
In mixed form: 1013/21

MathStep (Works offline)

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