Add 40/27 and 8/42
1st number: 1 13/27, 2nd number: 8/42
40/27 + 8/42 is 316/189.
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,
8/42 = 8 × 9/42 × 9 = 72/378 - Add the two like fractions:
560/378 + 72/378 = 560 + 72/378 = 632/378 - 632/378 simplified gives 316/189
- So, 40/27 + 8/42 = 316/189
In mixed form: 1127/189
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