Add 35/54 and 49/14
1st number: 35/54, 2nd number: 3 7/14
35/54 + 49/14 is 112/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
35/54 = 35 × 7/54 × 7 = 245/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
49/14 = 49 × 27/14 × 27 = 1323/378 - Add the two like fractions:
245/378 + 1323/378 = 245 + 1323/378 = 1568/378 - 1568/378 simplified gives 112/27
- So, 35/54 + 49/14 = 112/27
In mixed form: 44/27
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