Add 35/14 and 75/54
1st number: 2 7/14, 2nd number: 1 21/54
35/14 + 75/54 is 35/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
35/14 = 35 × 27/14 × 27 = 945/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
75/54 = 75 × 7/54 × 7 = 525/378 - Add the two like fractions:
945/378 + 525/378 = 945 + 525/378 = 1470/378 - 1470/378 simplified gives 35/9
- So, 35/14 + 75/54 = 35/9
In mixed form: 38/9
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