Add 36/40 and 49/56
36/40 + 49/56 is 71/40.
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,
36/40 = 36 × 7/40 × 7 = 252/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Add the two like fractions:
252/280 + 245/280 = 252 + 245/280 = 497/280 - 497/280 simplified gives 71/40
- So, 36/40 + 49/56 = 71/40
In mixed form: 131/40
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