Add 10/15 and 40/42
10/15 + 40/42 is 34/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
10/15 = 10 × 14/15 × 14 = 140/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
140/210 + 200/210 = 140 + 200/210 = 340/210 - 340/210 simplified gives 34/21
- So, 10/15 + 40/42 = 34/21
In mixed form: 113/21
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