Add 42/49 and 28/72
42/49 + 28/72 is 157/126.
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,
42/49 = 42 × 72/49 × 72 = 3024/3528 - Likewise, for the 2nd fraction, since 72 × 49 = 3528,
28/72 = 28 × 49/72 × 49 = 1372/3528 - Add the two like fractions:
3024/3528 + 1372/3528 = 3024 + 1372/3528 = 4396/3528 - 4396/3528 simplified gives 157/126
- So, 42/49 + 28/72 = 157/126
In mixed form: 131/126
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