Add 21/49 and 35/72
21/49 + 35/72 is 461/504.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 72 is 3528
Next, find the equivalent fraction of both fractional numbers with denominator 3528 - For the 1st fraction, since 49 × 72 = 3528,
21/49 = 21 × 72/49 × 72 = 1512/3528 - Likewise, for the 2nd fraction, since 72 × 49 = 3528,
35/72 = 35 × 49/72 × 49 = 1715/3528 - Add the two like fractions:
1512/3528 + 1715/3528 = 1512 + 1715/3528 = 3227/3528 - 3227/3528 simplified gives 461/504
- So, 21/49 + 35/72 = 461/504
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