Add 20/54 and 45/49
20/54 + 45/49 is 1705/1323.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 49 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 54 × 49 = 2646,
20/54 = 20 × 49/54 × 49 = 980/2646 - Likewise, for the 2nd fraction, since 49 × 54 = 2646,
45/49 = 45 × 54/49 × 54 = 2430/2646 - Add the two like fractions:
980/2646 + 2430/2646 = 980 + 2430/2646 = 3410/2646 - 3410/2646 simplified gives 1705/1323
- So, 20/54 + 45/49 = 1705/1323
In mixed form: 1382/1323
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