Add 12/5 and 49/42, Solve 2 2/5 + 1 7/42 as a fraction

Add 12/5 and 49/42

1^st number: 2 2/5, 2^nd number: 1 7/42

12/5 + 49/42 is 107/30.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 5 × 42 = 210,
12/5 = 12 × 42/5 × 42 = 504/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
49/42 = 49 × 5/42 × 5 = 245/210
Add the two like fractions:
504/210 + 245/210 = 504 + 245/210 = 749/210
749/210 simplified gives 107/30
So, 12/5 + 49/42 = 107/30
In mixed form: 317/30

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