Compare 10/54 and 9/30
10/54 is smaller than 9/30
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,
10/54 = 10 × 5/54 × 5 = 50/270 - Likewise, for the 2nd fraction, since 30 × 9 = 270,
9/30 = 9 × 9/30 × 9 = 81/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/270 < 81/270 or 10/54 < 9/30
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