Add 35/42 and 40/54
35/42 + 40/54 is 85/54.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
35/42 = 35 × 9/42 × 9 = 315/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
40/54 = 40 × 7/54 × 7 = 280/378 - Add the two like fractions:
315/378 + 280/378 = 315 + 280/378 = 595/378 - 595/378 simplified gives 85/54
- So, 35/42 + 40/54 = 85/54
In mixed form: 131/54
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