Add 40/15 and 54/42
1st number: 2 10/15, 2nd number: 1 12/42
40/15 + 54/42 is 83/21.
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,
40/15 = 40 × 14/15 × 14 = 560/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
54/42 = 54 × 5/42 × 5 = 270/210 - Add the two like fractions:
560/210 + 270/210 = 560 + 270/210 = 830/210 - 830/210 simplified gives 83/21
- So, 40/15 + 54/42 = 83/21
In mixed form: 320/21
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