Add 27/35 and 32/40
27/35 + 32/40 is 11/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
27/35 = 27 × 8/35 × 8 = 216/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
32/40 = 32 × 7/40 × 7 = 224/280 - Add the two like fractions:
216/280 + 224/280 = 216 + 224/280 = 440/280 - 440/280 simplified gives 11/7
- So, 27/35 + 32/40 = 11/7
In mixed form: 14/7
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