Add 35/49 and 16/18
35/49 + 16/18 is 101/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 18 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 49 × 18 = 882,
35/49 = 35 × 18/49 × 18 = 630/882 - Likewise, for the 2nd fraction, since 18 × 49 = 882,
16/18 = 16 × 49/18 × 49 = 784/882 - Add the two like fractions:
630/882 + 784/882 = 630 + 784/882 = 1414/882 - 1414/882 simplified gives 101/63
- So, 35/49 + 16/18 = 101/63
In mixed form: 138/63
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