Add 21/35 and 30/63
21/35 + 30/63 is 113/105.
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,
30/63 = 30 × 5/63 × 5 = 150/315 - Add the two like fractions:
189/315 + 150/315 = 189 + 150/315 = 339/315 - 339/315 simplified gives 113/105
- So, 21/35 + 30/63 = 113/105
In mixed form: 18/105
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