Compare 10/54 and 16/48
10/54 is smaller than 16/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 48 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 54 × 8 = 432,
10/54 = 10 × 8/54 × 8 = 80/432 - Likewise, for the 2nd fraction, since 48 × 9 = 432,
16/48 = 16 × 9/48 × 9 = 144/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/432 < 144/432 or 10/54 < 16/48
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