Add 32/30 and 63/42, Solve 1 2/30 + 1 21/42 as a fraction

Add 32/30 and 63/42

1^st number: 1 2/30, 2^nd number: 1 21/42

32/30 + 63/42 is 77/30.

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,
32/30 = 32 × 7/30 × 7 = 224/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
63/42 = 63 × 5/42 × 5 = 315/210
Add the two like fractions:
224/210 + 315/210 = 224 + 315/210 = 539/210
539/210 simplified gives 77/30
So, 32/30 + 63/42 = 77/30
In mixed form: 217/30

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