Add 30/35 and 84/63, Solve 30/35 + 1 21/63 as a fraction

Add 30/35 and 84/63

1^st number: 30/35, 2^nd number: 1 21/63

30/35 + 84/63 is 46/21.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 63 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 35 × 9 = 315,
30/35 = 30 × 9/35 × 9 = 270/315
Likewise, for the 2nd fraction, since 63 × 5 = 315,
84/63 = 84 × 5/63 × 5 = 420/315
Add the two like fractions:
270/315 + 420/315 = 270 + 420/315 = 690/315
690/315 simplified gives 46/21
So, 30/35 + 84/63 = 46/21
In mixed form: 24/21

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