Add 7/15 and 40/42
7/15 + 40/42 is 149/105.
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,
7/15 = 7 × 14/15 × 14 = 98/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
98/210 + 200/210 = 98 + 200/210 = 298/210 - 298/210 simplified gives 149/105
- So, 7/15 + 40/42 = 149/105
In mixed form: 144/105
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