Add 21/35 and 63/32, Solve 21/35 + 1 31/32 as a fraction

Add 21/35 and 63/32

1^st number: 21/35, 2^nd number: 1 31/32

21/35 + 63/32 is 411/160.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 32 is 1120

Next, find the equivalent fraction of both fractional numbers with denominator 1120
For the 1st fraction, since 35 × 32 = 1120,
21/35 = 21 × 32/35 × 32 = 672/1120
Likewise, for the 2nd fraction, since 32 × 35 = 1120,
63/32 = 63 × 35/32 × 35 = 2205/1120
Add the two like fractions:
672/1120 + 2205/1120 = 672 + 2205/1120 = 2877/1120
2877/1120 simplified gives 411/160
So, 21/35 + 63/32 = 411/160
In mixed form: 291/160

MathStep (Works offline)

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