Add 10/28 and 72/45, Solve 10/28 + 1 27/45 as a fraction

Add 10/28 and 72/45

1^st number: 10/28, 2^nd number: 1 27/45

10/28 + 72/45 is 137/70.

Find the least common denominator or LCM of the two denominators:
LCM of 28 and 45 is 1260

Next, find the equivalent fraction of both fractional numbers with denominator 1260
For the 1st fraction, since 28 × 45 = 1260,
10/28 = 10 × 45/28 × 45 = 450/1260
Likewise, for the 2nd fraction, since 45 × 28 = 1260,
72/45 = 72 × 28/45 × 28 = 2016/1260
Add the two like fractions:
450/1260 + 2016/1260 = 450 + 2016/1260 = 2466/1260
2466/1260 simplified gives 137/70
So, 10/28 + 72/45 = 137/70
In mixed form: 167/70

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