Add 21/45 and 84/35, Solve 21/45 + 2 14/35 as a fraction

Add 21/45 and 84/35

1^st number: 21/45, 2^nd number: 2 14/35

21/45 + 84/35 is 43/15.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 45 × 7 = 315,
21/45 = 21 × 7/45 × 7 = 147/315
Likewise, for the 2nd fraction, since 35 × 9 = 315,
84/35 = 84 × 9/35 × 9 = 756/315
Add the two like fractions:
147/315 + 756/315 = 147 + 756/315 = 903/315
903/315 simplified gives 43/15
So, 21/45 + 84/35 = 43/15
In mixed form: 213/15

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