Add 21/14 and 72/45, Solve 1 7/14 + 1 27/45 as a fraction

Add 21/14 and 72/45

1^st number: 1 7/14, 2^nd number: 1 27/45

21/14 + 72/45 is 31/10.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 45 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 14 × 45 = 630,
21/14 = 21 × 45/14 × 45 = 945/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
72/45 = 72 × 14/45 × 14 = 1008/630
Add the two like fractions:
945/630 + 1008/630 = 945 + 1008/630 = 1953/630
1953/630 simplified gives 31/10
So, 21/14 + 72/45 = 31/10
In mixed form: 31/10

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