Add 7/27 and 35/42
7/27 + 35/42 is 59/54.
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,
7/27 = 7 × 14/27 × 14 = 98/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
35/42 = 35 × 9/42 × 9 = 315/378 - Add the two like fractions:
98/378 + 315/378 = 98 + 315/378 = 413/378 - 413/378 simplified gives 59/54
- So, 7/27 + 35/42 = 59/54
In mixed form: 15/54
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