Add 30/42 and 40/54
30/42 + 40/54 is 275/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
30/42 = 30 × 9/42 × 9 = 270/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
40/54 = 40 × 7/54 × 7 = 280/378 - Add the two like fractions:
270/378 + 280/378 = 270 + 280/378 = 550/378 - 550/378 simplified gives 275/189
- So, 30/42 + 40/54 = 275/189
In mixed form: 186/189
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