Add 3/5 and 35/56
3/5 + 35/56 is 49/40.
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,
3/5 = 3 × 56/5 × 56 = 168/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
35/56 = 35 × 5/56 × 5 = 175/280 - Add the two like fractions:
168/280 + 175/280 = 168 + 175/280 = 343/280 - 343/280 simplified gives 49/40
- So, 3/5 + 35/56 = 49/40
In mixed form: 19/40
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