Add 27/14 and 30/45, Solve 1 13/14 + 30/45 as a fraction

Add 27/14 and 30/45

1^st number: 1 13/14, 2^nd number: 30/45

27/14 + 30/45 is 109/42.

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,
27/14 = 27 × 45/14 × 45 = 1215/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
30/45 = 30 × 14/45 × 14 = 420/630
Add the two like fractions:
1215/630 + 420/630 = 1215 + 420/630 = 1635/630
1635/630 simplified gives 109/42
So, 27/14 + 30/45 = 109/42
In mixed form: 225/42

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