Add 10/27 and 8/42
10/27 + 8/42 is 106/189.
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,
8/42 = 8 × 9/42 × 9 = 72/378 - Add the two like fractions:
140/378 + 72/378 = 140 + 72/378 = 212/378 - 212/378 simplified gives 106/189
- So, 10/27 + 8/42 = 106/189
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