Add 14/40 and 5/49
14/40 + 5/49 is 443/980.
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,
5/49 = 5 × 40/49 × 40 = 200/1960 - Add the two like fractions:
686/1960 + 200/1960 = 686 + 200/1960 = 886/1960 - 886/1960 simplified gives 443/980
- So, 14/40 + 5/49 = 443/980
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