Add 10/35 and 49/42, Solve 10/35 + 1 7/42 as a fraction

Add 10/35 and 49/42

1^st number: 10/35, 2^nd number: 1 7/42

10/35 + 49/42 is 61/42.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 35 × 6 = 210,
10/35 = 10 × 6/35 × 6 = 60/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
49/42 = 49 × 5/42 × 5 = 245/210
Add the two like fractions:
60/210 + 245/210 = 60 + 245/210 = 305/210
305/210 simplified gives 61/42
So, 10/35 + 49/42 = 61/42
In mixed form: 119/42

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