Compare 35/54 and 35/30
1st number: 35/54, 2nd number: 1 5/30
35/54 is smaller than 35/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 30 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 54 × 5 = 270,
35/54 = 35 × 5/54 × 5 = 175/270 - Likewise, for the 2nd fraction, since 30 × 9 = 270,
35/30 = 35 × 9/30 × 9 = 315/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/270 < 315/270 or 35/54 < 35/30
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