Compare 10/25 and 45/84
10/25 is smaller than 45/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 25 × 84 = 2100,
10/25 = 10 × 84/25 × 84 = 840/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
45/84 = 45 × 25/84 × 25 = 1125/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 840/2100 < 1125/2100 or 10/25 < 45/84
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