Compare 4/48 and 20/54
4/48 is smaller than 20/54
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,
4/48 = 4 × 9/48 × 9 = 36/432 - Likewise, for the 2nd fraction, since 54 × 8 = 432,
20/54 = 20 × 8/54 × 8 = 160/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/432 < 160/432 or 4/48 < 20/54
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