Add 27/35 and 40/9
1st number: 27/35, 2nd number: 4 4/9
27/35 + 40/9 is 1643/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 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 9 × 35 = 315,
40/9 = 40 × 35/9 × 35 = 1400/315 - Add the two like fractions:
243/315 + 1400/315 = 243 + 1400/315 = 1643/315 - So, 27/35 + 40/9 = 1643/315
In mixed form: 568/315
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