Add 30/42 and 27/54
30/42 + 27/54 is 17/14.
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,
27/54 = 27 × 7/54 × 7 = 189/378 - Add the two like fractions:
270/378 + 189/378 = 270 + 189/378 = 459/378 - 459/378 simplified gives 17/14
- So, 30/42 + 27/54 = 17/14
In mixed form: 13/14
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