Add 45/54 and 21/49
45/54 + 21/49 is 53/42.
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,
45/54 = 45 × 49/54 × 49 = 2205/2646 - Likewise, for the 2nd fraction, since 49 × 54 = 2646,
21/49 = 21 × 54/49 × 54 = 1134/2646 - Add the two like fractions:
2205/2646 + 1134/2646 = 2205 + 1134/2646 = 3339/2646 - 3339/2646 simplified gives 53/42
- So, 45/54 + 21/49 = 53/42
In mixed form: 111/42
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