Add 20/40 and 14/49
20/40 + 14/49 is 11/14.
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,
20/40 = 20 × 49/40 × 49 = 980/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
14/49 = 14 × 40/49 × 40 = 560/1960 - Add the two like fractions:
980/1960 + 560/1960 = 980 + 560/1960 = 1540/1960 - 1540/1960 simplified gives 11/14
- So, 20/40 + 14/49 = 11/14
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