Add 35/42 and 42/54
35/42 + 42/54 is 29/18.
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,
42/54 = 42 × 7/54 × 7 = 294/378 - Add the two like fractions:
315/378 + 294/378 = 315 + 294/378 = 609/378 - 609/378 simplified gives 29/18
- So, 35/42 + 42/54 = 29/18
In mixed form: 111/18
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