Add 45/54 and 42/45
45/54 + 42/45 is 53/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 45 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 54 × 5 = 270,
45/54 = 45 × 5/54 × 5 = 225/270 - Likewise, for the 2nd fraction, since 45 × 6 = 270,
42/45 = 42 × 6/45 × 6 = 252/270 - Add the two like fractions:
225/270 + 252/270 = 225 + 252/270 = 477/270 - 477/270 simplified gives 53/30
- So, 45/54 + 42/45 = 53/30
In mixed form: 123/30
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