Add 21/42 and 49/30, Solve 21/42 + 1 19/30 as a fraction

Add 21/42 and 49/30

1^st number: 21/42, 2^nd number: 1 19/30

21/42 + 49/30 is 32/15.

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

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 42 × 5 = 210,
21/42 = 21 × 5/42 × 5 = 105/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
49/30 = 49 × 7/30 × 7 = 343/210
Add the two like fractions:
105/210 + 343/210 = 105 + 343/210 = 448/210
448/210 simplified gives 32/15
So, 21/42 + 49/30 = 32/15
In mixed form: 22/15

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