Add 30/84 and 7/10, Solve 30/84 + 7/10 as a fraction

Add 30/84 and 7/10

30/84 + 7/10 is 37/35.

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,
30/84 = 30 × 5/84 × 5 = 150/420
Likewise, for the 2nd fraction, since 10 × 42 = 420,
7/10 = 7 × 42/10 × 42 = 294/420
Add the two like fractions:
150/420 + 294/420 = 150 + 294/420 = 444/420
444/420 simplified gives 37/35
So, 30/84 + 7/10 = 37/35
In mixed form: 12/35

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