Add 14/21 and 7/49
14/21 + 7/49 is 17/21.
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,
14/21 = 14 × 7/21 × 7 = 98/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
7/49 = 7 × 3/49 × 3 = 21/147 - Add the two like fractions:
98/147 + 21/147 = 98 + 21/147 = 119/147 - 119/147 simplified gives 17/21
- So, 14/21 + 7/49 = 17/21
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