Add 36/15 and 84/49, Solve 2 6/15 + 1 35/49 as a fraction

Add 36/15 and 84/49

1^st number: 2 6/15, 2^nd number: 1 35/49

36/15 + 84/49 is 144/35.

Find the least common denominator or LCM of the two denominators:
LCM of 15 and 49 is 735

Next, find the equivalent fraction of both fractional numbers with denominator 735
For the 1st fraction, since 15 × 49 = 735,
36/15 = 36 × 49/15 × 49 = 1764/735
Likewise, for the 2nd fraction, since 49 × 15 = 735,
84/49 = 84 × 15/49 × 15 = 1260/735
Add the two like fractions:
1764/735 + 1260/735 = 1764 + 1260/735 = 3024/735
3024/735 simplified gives 144/35
So, 36/15 + 84/49 = 144/35
In mixed form: 44/35

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