Add 27/5 and 32/42, Solve 5 2/5 + 32/42 as a fraction

Add 27/5 and 32/42

1^st number: 5 2/5, 2^nd number: 32/42

27/5 + 32/42 is 647/105.

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,
27/5 = 27 × 42/5 × 42 = 1134/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
32/42 = 32 × 5/42 × 5 = 160/210
Add the two like fractions:
1134/210 + 160/210 = 1134 + 160/210 = 1294/210
1294/210 simplified gives 647/105
So, 27/5 + 32/42 = 647/105
In mixed form: 617/105

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