Compare 45/48 and 21/40
45/48 is greater than 21/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 40 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 48 × 5 = 240,
45/48 = 45 × 5/48 × 5 = 225/240 - Likewise, for the 2nd fraction, since 40 × 6 = 240,
21/40 = 21 × 6/40 × 6 = 126/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/240 > 126/240 or 45/48 > 21/40
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