Add 72/35 and 56/45, Solve 2 2/35 + 1 11/45 as a fraction

Add 72/35 and 56/45

1^st number: 2 2/35, 2^nd number: 1 11/45

72/35 + 56/45 is 208/63.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 45 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 35 × 9 = 315,
72/35 = 72 × 9/35 × 9 = 648/315
Likewise, for the 2nd fraction, since 45 × 7 = 315,
56/45 = 56 × 7/45 × 7 = 392/315
Add the two like fractions:
648/315 + 392/315 = 648 + 392/315 = 1040/315
1040/315 simplified gives 208/63
So, 72/35 + 56/45 = 208/63
In mixed form: 319/63

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