Add 36/54 and 27/42
36/54 + 27/42 is 55/42.
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,
36/54 = 36 × 7/54 × 7 = 252/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
27/42 = 27 × 9/42 × 9 = 243/378 - Add the two like fractions:
252/378 + 243/378 = 252 + 243/378 = 495/378 - 495/378 simplified gives 55/42
- So, 36/54 + 27/42 = 55/42
In mixed form: 113/42
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