Add 20/49 and 28/40
20/49 + 28/40 is 543/490.
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,
20/49 = 20 × 40/49 × 40 = 800/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
28/40 = 28 × 49/40 × 49 = 1372/1960 - Add the two like fractions:
800/1960 + 1372/1960 = 800 + 1372/1960 = 2172/1960 - 2172/1960 simplified gives 543/490
- So, 20/49 + 28/40 = 543/490
In mixed form: 153/490
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