Compare 10/75 and 20/84
10/75 is smaller than 20/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
10/75 = 10 × 28/75 × 28 = 280/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
20/84 = 20 × 25/84 × 25 = 500/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/2100 < 500/2100 or 10/75 < 20/84
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