Add 42/54 and 30/49
42/54 + 30/49 is 613/441.
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,
42/54 = 42 × 49/54 × 49 = 2058/2646 - Likewise, for the 2nd fraction, since 49 × 54 = 2646,
30/49 = 30 × 54/49 × 54 = 1620/2646 - Add the two like fractions:
2058/2646 + 1620/2646 = 2058 + 1620/2646 = 3678/2646 - 3678/2646 simplified gives 613/441
- So, 42/54 + 30/49 = 613/441
In mixed form: 1172/441
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