Add 10/15 and 8/21
10/15 + 8/21 is 22/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
10/15 = 10 × 7/15 × 7 = 70/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
8/21 = 8 × 5/21 × 5 = 40/105 - Add the two like fractions:
70/105 + 40/105 = 70 + 40/105 = 110/105 - 110/105 simplified gives 22/21
- So, 10/15 + 8/21 = 22/21
In mixed form: 11/21
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