Add 36/45 and 72/35, Solve 36/45 + 2 2/35 as a fraction

Add 36/45 and 72/35

1^st number: 36/45, 2^nd number: 2 2/35

36/45 + 72/35 is 20/7.

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

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 45 × 7 = 315,
36/45 = 36 × 7/45 × 7 = 252/315
Likewise, for the 2nd fraction, since 35 × 9 = 315,
72/35 = 72 × 9/35 × 9 = 648/315
Add the two like fractions:
252/315 + 648/315 = 252 + 648/315 = 900/315
900/315 simplified gives 20/7
So, 36/45 + 72/35 = 20/7
In mixed form: 26/7

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