Add 27/30 and 45/42, Solve 27/30 + 1 3/42 as a fraction

Add 27/30 and 45/42

1^st number: 27/30, 2^nd number: 1 3/42

27/30 + 45/42 is 69/35.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 30 × 7 = 210,
27/30 = 27 × 7/30 × 7 = 189/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210
Add the two like fractions:
189/210 + 225/210 = 189 + 225/210 = 414/210
414/210 simplified gives 69/35
So, 27/30 + 45/42 = 69/35
In mixed form: 134/35

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