Add 49/21 and 63/32, Solve 2 7/21 + 1 31/32 as a fraction

Add 49/21 and 63/32

1^st number: 2 7/21, 2^nd number: 1 31/32

49/21 + 63/32 is 413/96.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 32 is 672

Next, find the equivalent fraction of both fractional numbers with denominator 672
For the 1st fraction, since 21 × 32 = 672,
49/21 = 49 × 32/21 × 32 = 1568/672
Likewise, for the 2nd fraction, since 32 × 21 = 672,
63/32 = 63 × 21/32 × 21 = 1323/672
Add the two like fractions:
1568/672 + 1323/672 = 1568 + 1323/672 = 2891/672
2891/672 simplified gives 413/96
So, 49/21 + 63/32 = 413/96
In mixed form: 429/96

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