Add 9/49 and 14/40
9/49 + 14/40 is 523/980.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
9/49 = 9 × 40/49 × 40 = 360/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
14/40 = 14 × 49/40 × 49 = 686/1960 - Add the two like fractions:
360/1960 + 686/1960 = 360 + 686/1960 = 1046/1960 - 1046/1960 simplified gives 523/980
- So, 9/49 + 14/40 = 523/980
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