Add 14/25 and 49/56
14/25 + 49/56 is 287/200.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 56 is 1400
Next, find the equivalent fraction of both fractional numbers with denominator 1400 - For the 1st fraction, since 25 × 56 = 1400,
14/25 = 14 × 56/25 × 56 = 784/1400 - Likewise, for the 2nd fraction, since 56 × 25 = 1400,
49/56 = 49 × 25/56 × 25 = 1225/1400 - Add the two like fractions:
784/1400 + 1225/1400 = 784 + 1225/1400 = 2009/1400 - 2009/1400 simplified gives 287/200
- So, 14/25 + 49/56 = 287/200
In mixed form: 187/200
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