Add 10/54 and 40/42
10/54 + 40/42 is 215/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
10/54 = 10 × 7/54 × 7 = 70/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
40/42 = 40 × 9/42 × 9 = 360/378 - Add the two like fractions:
70/378 + 360/378 = 70 + 360/378 = 430/378 - 430/378 simplified gives 215/189
- So, 10/54 + 40/42 = 215/189
In mixed form: 126/189
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