Add 7/49 and 40/72
7/49 + 40/72 is 44/63.
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,
7/49 = 7 × 72/49 × 72 = 504/3528 - Likewise, for the 2nd fraction, since 72 × 49 = 3528,
40/72 = 40 × 49/72 × 49 = 1960/3528 - Add the two like fractions:
504/3528 + 1960/3528 = 504 + 1960/3528 = 2464/3528 - 2464/3528 simplified gives 44/63
- So, 7/49 + 40/72 = 44/63
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