Add 7/14 and 27/40
7/14 + 27/40 is 47/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
7/14 = 7 × 20/14 × 20 = 140/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
27/40 = 27 × 7/40 × 7 = 189/280 - Add the two like fractions:
140/280 + 189/280 = 140 + 189/280 = 329/280 - 329/280 simplified gives 47/40
- So, 7/14 + 27/40 = 47/40
In mixed form: 17/40
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