Add 5/27 and 10/42
5/27 + 10/42 is 80/189.
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,
5/27 = 5 × 14/27 × 14 = 70/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
10/42 = 10 × 9/42 × 9 = 90/378 - Add the two like fractions:
70/378 + 90/378 = 70 + 90/378 = 160/378 - 160/378 simplified gives 80/189
- So, 5/27 + 10/42 = 80/189
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