Add 10/35 and 49/56
10/35 + 49/56 is 65/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
10/35 = 10 × 8/35 × 8 = 80/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Add the two like fractions:
80/280 + 245/280 = 80 + 245/280 = 325/280 - 325/280 simplified gives 65/56
- So, 10/35 + 49/56 = 65/56
In mixed form: 19/56
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