Add 4/10 and 49/42, Solve 4/10 + 1 7/42 as a fraction

Add 4/10 and 49/42

1^st number: 4/10, 2^nd number: 1 7/42

4/10 + 49/42 is 47/30.

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

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 10 × 21 = 210,
4/10 = 4 × 21/10 × 21 = 84/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
49/42 = 49 × 5/42 × 5 = 245/210
Add the two like fractions:
84/210 + 245/210 = 84 + 245/210 = 329/210
329/210 simplified gives 47/30
So, 4/10 + 49/42 = 47/30
In mixed form: 117/30

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