Compare 45/54 and 21/8
1st number: 45/54, 2nd number: 2 5/8
45/54 is smaller than 21/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 8 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 54 × 4 = 216,
45/54 = 45 × 4/54 × 4 = 180/216 - Likewise, for the 2nd fraction, since 8 × 27 = 216,
21/8 = 21 × 27/8 × 27 = 567/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/216 < 567/216 or 45/54 < 21/8
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