Add 10/27 and 24/42
10/27 + 24/42 is 178/189.
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,
24/42 = 24 × 9/42 × 9 = 216/378 - Add the two like fractions:
140/378 + 216/378 = 140 + 216/378 = 356/378 - 356/378 simplified gives 178/189
- So, 10/27 + 24/42 = 178/189
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