Add 8/35 and 49/56
8/35 + 49/56 is 309/280.
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,
8/35 = 8 × 8/35 × 8 = 64/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Add the two like fractions:
64/280 + 245/280 = 64 + 245/280 = 309/280 - So, 8/35 + 49/56 = 309/280
In mixed form: 129/280
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