Add 72/35 and 21/49, Solve 2 2/35 + 21/49 as a fraction

Add 72/35 and 21/49

1^st number: 2 2/35, 2^nd number: 21/49

72/35 + 21/49 is 87/35.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245

Next, find the equivalent fraction of both fractional numbers with denominator 245
For the 1st fraction, since 35 × 7 = 245,
72/35 = 72 × 7/35 × 7 = 504/245
Likewise, for the 2nd fraction, since 49 × 5 = 245,
21/49 = 21 × 5/49 × 5 = 105/245
Add the two like fractions:
504/245 + 105/245 = 504 + 105/245 = 609/245
609/245 simplified gives 87/35
So, 72/35 + 21/49 = 87/35
In mixed form: 217/35

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