Add 16/42 and 21/49
16/42 + 21/49 is 17/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
16/42 = 16 × 7/42 × 7 = 112/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
21/49 = 21 × 6/49 × 6 = 126/294 - Add the two like fractions:
112/294 + 126/294 = 112 + 126/294 = 238/294 - 238/294 simplified gives 17/21
- So, 16/42 + 21/49 = 17/21
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