Add 27/35 and 16/45
27/35 + 16/45 is 71/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 45 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 45 × 7 = 315,
16/45 = 16 × 7/45 × 7 = 112/315 - Add the two like fractions:
243/315 + 112/315 = 243 + 112/315 = 355/315 - 355/315 simplified gives 71/63
- So, 27/35 + 16/45 = 71/63
In mixed form: 18/63
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