Add 10/15 and 16/21
10/15 + 16/21 is 10/7.
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,
16/21 = 16 × 5/21 × 5 = 80/105 - Add the two like fractions:
70/105 + 80/105 = 70 + 80/105 = 150/105 - 150/105 simplified gives 10/7
- So, 10/15 + 16/21 = 10/7
In mixed form: 13/7
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