Add 21/35 and 45/63
21/35 + 45/63 is 46/35.
Steps for adding fractions
- 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,
21/35 = 21 × 9/35 × 9 = 189/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
45/63 = 45 × 5/63 × 5 = 225/315 - Add the two like fractions:
189/315 + 225/315 = 189 + 225/315 = 414/315 - 414/315 simplified gives 46/35
- So, 21/35 + 45/63 = 46/35
In mixed form: 111/35
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