Add 7/42 and 49/32, Solve 7/42 + 1 17/32 as a fraction

Add 7/42 and 49/32

1^st number: 7/42, 2^nd number: 1 17/32

7/42 + 49/32 is 163/96.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 32 is 672

Next, find the equivalent fraction of both fractional numbers with denominator 672
For the 1st fraction, since 42 × 16 = 672,
7/42 = 7 × 16/42 × 16 = 112/672
Likewise, for the 2nd fraction, since 32 × 21 = 672,
49/32 = 49 × 21/32 × 21 = 1029/672
Add the two like fractions:
112/672 + 1029/672 = 112 + 1029/672 = 1141/672
1141/672 simplified gives 163/96
So, 7/42 + 49/32 = 163/96
In mixed form: 167/96

MathStep (Works offline)

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