Add 3/54 and 42/49
3/54 + 42/49 is 115/126.
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,
3/54 = 3 × 49/54 × 49 = 147/2646 - Likewise, for the 2nd fraction, since 49 × 54 = 2646,
42/49 = 42 × 54/49 × 54 = 2268/2646 - Add the two like fractions:
147/2646 + 2268/2646 = 147 + 2268/2646 = 2415/2646 - 2415/2646 simplified gives 115/126
- So, 3/54 + 42/49 = 115/126
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