Add 27/10 and 10/84, Solve 2 7/10 + 10/84 as a fraction

Add 27/10 and 10/84

1^st number: 2 7/10, 2^nd number: 10/84

27/10 + 10/84 is 296/105.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 10 × 42 = 420,
27/10 = 27 × 42/10 × 42 = 1134/420
Likewise, for the 2nd fraction, since 84 × 5 = 420,
10/84 = 10 × 5/84 × 5 = 50/420
Add the two like fractions:
1134/420 + 50/420 = 1134 + 50/420 = 1184/420
1184/420 simplified gives 296/105
So, 27/10 + 10/84 = 296/105
In mixed form: 286/105

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