Add 21/49 and 16/30
21/49 + 16/30 is 101/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 49 × 30 = 1470,
21/49 = 21 × 30/49 × 30 = 630/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
16/30 = 16 × 49/30 × 49 = 784/1470 - Add the two like fractions:
630/1470 + 784/1470 = 630 + 784/1470 = 1414/1470 - 1414/1470 simplified gives 101/105
- So, 21/49 + 16/30 = 101/105
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