Add 40/54 and 14/49
40/54 + 14/49 is 194/189.
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,
40/54 = 40 × 49/54 × 49 = 1960/2646 - Likewise, for the 2nd fraction, since 49 × 54 = 2646,
14/49 = 14 × 54/49 × 54 = 756/2646 - Add the two like fractions:
1960/2646 + 756/2646 = 1960 + 756/2646 = 2716/2646 - 2716/2646 simplified gives 194/189
- So, 40/54 + 14/49 = 194/189
In mixed form: 15/189
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