Add 49/21 and 30/32, Solve 2 7/21 + 30/32 as a fraction

Add 49/21 and 30/32

1^st number: 2 7/21, 2^nd number: 30/32

49/21 + 30/32 is 157/48.

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,
30/32 = 30 × 21/32 × 21 = 630/672
Add the two like fractions:
1568/672 + 630/672 = 1568 + 630/672 = 2198/672
2198/672 simplified gives 157/48
So, 49/21 + 30/32 = 157/48
In mixed form: 313/48

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