Compare 10/48 and 30/54
10/48 is smaller than 30/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 54 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 48 × 9 = 432,
10/48 = 10 × 9/48 × 9 = 90/432 - Likewise, for the 2nd fraction, since 54 × 8 = 432,
30/54 = 30 × 8/54 × 8 = 240/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/432 < 240/432 or 10/48 < 30/54
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