Add 27/35 and 21/63
27/35 + 21/63 is 116/105.
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,
27/35 = 27 × 9/35 × 9 = 243/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
21/63 = 21 × 5/63 × 5 = 105/315 - Add the two like fractions:
243/315 + 105/315 = 243 + 105/315 = 348/315 - 348/315 simplified gives 116/105
- So, 27/35 + 21/63 = 116/105
In mixed form: 111/105
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