Add 45/54 and 12/42
45/54 + 12/42 is 47/42.
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,
45/54 = 45 × 7/54 × 7 = 315/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
12/42 = 12 × 9/42 × 9 = 108/378 - Add the two like fractions:
315/378 + 108/378 = 315 + 108/378 = 423/378 - 423/378 simplified gives 47/42
- So, 45/54 + 12/42 = 47/42
In mixed form: 15/42
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