Add 2/5 and 49/56
2/5 + 49/56 is 51/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 5 × 56 = 280,
2/5 = 2 × 56/5 × 56 = 112/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Add the two like fractions:
112/280 + 245/280 = 112 + 245/280 = 357/280 - 357/280 simplified gives 51/40
- So, 2/5 + 49/56 = 51/40
In mixed form: 111/40
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