Add 10/20 and 14/49
10/20 + 14/49 is 11/14.
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,
10/20 = 10 × 49/20 × 49 = 490/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
14/49 = 14 × 20/49 × 20 = 280/980 - Add the two like fractions:
490/980 + 280/980 = 490 + 280/980 = 770/980 - 770/980 simplified gives 11/14
- So, 10/20 + 14/49 = 11/14
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