Add 7/49 and 21/16, Solve 7/49 + 1 5/16 as a fraction

Add 7/49 and 21/16

1^st number: 7/49, 2^nd number: 1 5/16

7/49 + 21/16 is 163/112.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784

Next, find the equivalent fraction of both fractional numbers with denominator 784
For the 1st fraction, since 49 × 16 = 784,
7/49 = 7 × 16/49 × 16 = 112/784
Likewise, for the 2nd fraction, since 16 × 49 = 784,
21/16 = 21 × 49/16 × 49 = 1029/784
Add the two like fractions:
112/784 + 1029/784 = 112 + 1029/784 = 1141/784
1141/784 simplified gives 163/112
So, 7/49 + 21/16 = 163/112
In mixed form: 151/112

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