Compare 3/54 and 42/48
3/54 is smaller than 42/48
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,
3/54 = 3 × 8/54 × 8 = 24/432 - Likewise, for the 2nd fraction, since 48 × 9 = 432,
42/48 = 42 × 9/48 × 9 = 378/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/432 < 378/432 or 3/54 < 42/48
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