Add 27/10 and 35/21, Solve 2 7/10 + 1 14/21 as a fraction

Add 27/10 and 35/21

1^st number: 2 7/10, 2^nd number: 1 14/21

27/10 + 35/21 is 131/30.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 21 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 10 × 21 = 210,
27/10 = 27 × 21/10 × 21 = 567/210
Likewise, for the 2nd fraction, since 21 × 10 = 210,
35/21 = 35 × 10/21 × 10 = 350/210
Add the two like fractions:
567/210 + 350/210 = 567 + 350/210 = 917/210
917/210 simplified gives 131/30
So, 27/10 + 35/21 = 131/30
In mixed form: 411/30

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