Add 35/42 and 12/5, Solve 35/42 + 2 2/5 as a fraction

Add 35/42 and 12/5

1^st number: 35/42, 2^nd number: 2 2/5

35/42 + 12/5 is 97/30.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 5 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 5 × 42 = 210,
12/5 = 12 × 42/5 × 42 = 504/210
Add the two like fractions:
175/210 + 504/210 = 175 + 504/210 = 679/210
679/210 simplified gives 97/30
So, 35/42 + 12/5 = 97/30
In mixed form: 37/30

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