Add 10/42 and 35/27
1st number: 10/42, 2nd number: 1 8/27
10/42 + 35/27 is 290/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
10/42 = 10 × 9/42 × 9 = 90/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
35/27 = 35 × 14/27 × 14 = 490/378 - Add the two like fractions:
90/378 + 490/378 = 90 + 490/378 = 580/378 - 580/378 simplified gives 290/189
- So, 10/42 + 35/27 = 290/189
In mixed form: 1101/189
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