Add 35/42 and 75/54
1st number: 35/42, 2nd number: 1 21/54
35/42 + 75/54 is 20/9.
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,
75/54 = 75 × 7/54 × 7 = 525/378 - Add the two like fractions:
315/378 + 525/378 = 315 + 525/378 = 840/378 - 840/378 simplified gives 20/9
- So, 35/42 + 75/54 = 20/9
In mixed form: 22/9
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