Add 21/35 and 40/56
21/35 + 40/56 is 46/35.
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,
21/35 = 21 × 8/35 × 8 = 168/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
40/56 = 40 × 5/56 × 5 = 200/280 - Add the two like fractions:
168/280 + 200/280 = 168 + 200/280 = 368/280 - 368/280 simplified gives 46/35
- So, 21/35 + 40/56 = 46/35
In mixed form: 111/35
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