Add 14/40 and 1/49
14/40 + 1/49 is 363/980.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
14/40 = 14 × 49/40 × 49 = 686/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
1/49 = 1 × 40/49 × 40 = 40/1960 - Add the two like fractions:
686/1960 + 40/1960 = 686 + 40/1960 = 726/1960 - 726/1960 simplified gives 363/980
- So, 14/40 + 1/49 = 363/980
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