Compare 10/75 and 20/42
10/75 is smaller than 20/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
10/75 = 10 × 14/75 × 14 = 140/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
20/42 = 20 × 25/42 × 25 = 500/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/1050 < 500/1050 or 10/75 < 20/42
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