Add 16/21 and 14/49
16/21 + 14/49 is 22/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 21 × 7 = 147,
16/21 = 16 × 7/21 × 7 = 112/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
14/49 = 14 × 3/49 × 3 = 42/147 - Add the two like fractions:
112/147 + 42/147 = 112 + 42/147 = 154/147 - 154/147 simplified gives 22/21
- So, 16/21 + 14/49 = 22/21
In mixed form: 11/21
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