Add 27/35 and 14/40
27/35 + 14/40 is 157/140.
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,
14/40 = 14 × 7/40 × 7 = 98/280 - Add the two like fractions:
216/280 + 98/280 = 216 + 98/280 = 314/280 - 314/280 simplified gives 157/140
- So, 27/35 + 14/40 = 157/140
In mixed form: 117/140
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