Add 10/15 and 30/35
10/15 + 30/35 is 32/21.
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,
10/15 = 10 × 7/15 × 7 = 70/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
30/35 = 30 × 3/35 × 3 = 90/105 - Add the two like fractions:
70/105 + 90/105 = 70 + 90/105 = 160/105 - 160/105 simplified gives 32/21
- So, 10/15 + 30/35 = 32/21
In mixed form: 111/21
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