Add 27/35 and 12/40
27/35 + 12/40 is 15/14.
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,
12/40 = 12 × 7/40 × 7 = 84/280 - Add the two like fractions:
216/280 + 84/280 = 216 + 84/280 = 300/280 - 300/280 simplified gives 15/14
- So, 27/35 + 12/40 = 15/14
In mixed form: 11/14
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