Add 10/27 and 40/42
10/27 + 40/42 is 250/189.
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,
10/27 = 10 × 14/27 × 14 = 140/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
40/42 = 40 × 9/42 × 9 = 360/378 - Add the two like fractions:
140/378 + 360/378 = 140 + 360/378 = 500/378 - 500/378 simplified gives 250/189
- So, 10/27 + 40/42 = 250/189
In mixed form: 161/189
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