Add 45/42 and 49/54
1st number: 1 3/42, 2nd number: 49/54
45/42 + 49/54 is 374/189.
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,
45/42 = 45 × 9/42 × 9 = 405/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
49/54 = 49 × 7/54 × 7 = 343/378 - Add the two like fractions:
405/378 + 343/378 = 405 + 343/378 = 748/378 - 748/378 simplified gives 374/189
- So, 45/42 + 49/54 = 374/189
In mixed form: 1185/189
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