Add 40/54 and 84/98
40/54 + 84/98 is 302/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 98 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 54 × 49 = 2646,
40/54 = 40 × 49/54 × 49 = 1960/2646 - Likewise, for the 2nd fraction, since 98 × 27 = 2646,
84/98 = 84 × 27/98 × 27 = 2268/2646 - Add the two like fractions:
1960/2646 + 2268/2646 = 1960 + 2268/2646 = 4228/2646 - 4228/2646 simplified gives 302/189
- So, 40/54 + 84/98 = 302/189
In mixed form: 1113/189
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