Add 40/49 and 14/20
40/49 + 14/20 is 743/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 20 is 980
Next, find the equivalent fraction of both fractional numbers with denominator 980 - For the 1st fraction, since 49 × 20 = 980,
40/49 = 40 × 20/49 × 20 = 800/980 - Likewise, for the 2nd fraction, since 20 × 49 = 980,
14/20 = 14 × 49/20 × 49 = 686/980 - Add the two like fractions:
800/980 + 686/980 = 800 + 686/980 = 1486/980 - 1486/980 simplified gives 743/490
- So, 40/49 + 14/20 = 743/490
In mixed form: 1253/490
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