Add 36/70 and 40/36, Solve 36/70 + 1 4/36 as a fraction

Add 36/70 and 40/36

1^st number: 36/70, 2^nd number: 1 4/36

36/70 + 40/36 is 512/315.

Find the least common denominator or LCM of the two denominators:
LCM of 70 and 36 is 1260

Next, find the equivalent fraction of both fractional numbers with denominator 1260
For the 1st fraction, since 70 × 18 = 1260,
36/70 = 36 × 18/70 × 18 = 648/1260
Likewise, for the 2nd fraction, since 36 × 35 = 1260,
40/36 = 40 × 35/36 × 35 = 1400/1260
Add the two like fractions:
648/1260 + 1400/1260 = 648 + 1400/1260 = 2048/1260
2048/1260 simplified gives 512/315
So, 36/70 + 40/36 = 512/315
In mixed form: 1197/315

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