Add 7/40 and 49/56
7/40 + 49/56 is 21/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
7/40 = 7 × 7/40 × 7 = 49/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Add the two like fractions:
49/280 + 245/280 = 49 + 245/280 = 294/280 - 294/280 simplified gives 21/20
- So, 7/40 + 49/56 = 21/20
In mixed form: 11/20
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