Add 75/42 and 49/27
1st number: 1 33/42, 2nd number: 1 22/27
75/42 + 49/27 is 1361/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
75/42 = 75 × 9/42 × 9 = 675/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
49/27 = 49 × 14/27 × 14 = 686/378 - Add the two like fractions:
675/378 + 686/378 = 675 + 686/378 = 1361/378 - So, 75/42 + 49/27 = 1361/378
In mixed form: 3227/378
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