Add 8/15 and 21/35
8/15 + 21/35 is 17/15.
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,
8/15 = 8 × 7/15 × 7 = 56/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
21/35 = 21 × 3/35 × 3 = 63/105 - Add the two like fractions:
56/105 + 63/105 = 56 + 63/105 = 119/105 - 119/105 simplified gives 17/15
- So, 8/15 + 21/35 = 17/15
In mixed form: 12/15
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