Add 7/20 and 35/49
7/20 + 35/49 is 149/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 49 is 980
Next, find the equivalent fraction of both fractional numbers with denominator 980 - For the 1st fraction, since 20 × 49 = 980,
7/20 = 7 × 49/20 × 49 = 343/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
35/49 = 35 × 20/49 × 20 = 700/980 - Add the two like fractions:
343/980 + 700/980 = 343 + 700/980 = 1043/980 - 1043/980 simplified gives 149/140
- So, 7/20 + 35/49 = 149/140
In mixed form: 19/140
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