Add 40/15 and 56/35
1st number: 2 10/15, 2nd number: 1 21/35
40/15 + 56/35 is 64/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
40/15 = 40 × 7/15 × 7 = 280/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
56/35 = 56 × 3/35 × 3 = 168/105 - Add the two like fractions:
280/105 + 168/105 = 280 + 168/105 = 448/105 - 448/105 simplified gives 64/15
- So, 40/15 + 56/35 = 64/15
In mixed form: 44/15
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