Add 35/42 and 28/10, Solve 35/42 + 2 8/10 as a fraction

Add 35/42 and 28/10

1^st number: 35/42, 2^nd number: 2 8/10

35/42 + 28/10 is 109/30.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 10 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 42 × 5 = 210,
35/42 = 35 × 5/42 × 5 = 175/210
Likewise, for the 2nd fraction, since 10 × 21 = 210,
28/10 = 28 × 21/10 × 21 = 588/210
Add the two like fractions:
175/210 + 588/210 = 175 + 588/210 = 763/210
763/210 simplified gives 109/30
So, 35/42 + 28/10 = 109/30
In mixed form: 319/30

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