Add 10/84 and 21/10, Solve 10/84 + 2 1/10 as a fraction

Add 10/84 and 21/10

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

10/84 + 21/10 is 233/105.

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

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 84 × 5 = 420,
10/84 = 10 × 5/84 × 5 = 50/420
Likewise, for the 2nd fraction, since 10 × 42 = 420,
21/10 = 21 × 42/10 × 42 = 882/420
Add the two like fractions:
50/420 + 882/420 = 50 + 882/420 = 932/420
932/420 simplified gives 233/105
So, 10/84 + 21/10 = 233/105
In mixed form: 223/105

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