Compare 75/30 and 45/54
1st number: 2 15/30, 2nd number: 45/54
75/30 is greater than 45/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
75/30 = 75 × 9/30 × 9 = 675/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
45/54 = 45 × 5/54 × 5 = 225/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/270 > 225/270 or 75/30 > 45/54
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