Compare 10/20 and 45/48
10/20 is smaller than 45/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 20 × 12 = 240,
10/20 = 10 × 12/20 × 12 = 120/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
45/48 = 45 × 5/48 × 5 = 225/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/240 < 225/240 or 10/20 < 45/48
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