Add 40/27 and 30/42
1st number: 1 13/27, 2nd number: 30/42
40/27 + 30/42 is 415/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
40/27 = 40 × 14/27 × 14 = 560/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
30/42 = 30 × 9/42 × 9 = 270/378 - Add the two like fractions:
560/378 + 270/378 = 560 + 270/378 = 830/378 - 830/378 simplified gives 415/189
- So, 40/27 + 30/42 = 415/189
In mixed form: 237/189
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