Add 40/15 and 75/42
1st number: 2 10/15, 2nd number: 1 33/42
40/15 + 75/42 is 187/42.
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,
40/15 = 40 × 14/15 × 14 = 560/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
75/42 = 75 × 5/42 × 5 = 375/210 - Add the two like fractions:
560/210 + 375/210 = 560 + 375/210 = 935/210 - 935/210 simplified gives 187/42
- So, 40/15 + 75/42 = 187/42
In mixed form: 419/42
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