Compare 21/75 and 20/40
21/75 is smaller than 20/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
21/75 = 21 × 8/75 × 8 = 168/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
20/40 = 20 × 15/40 × 15 = 300/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/600 < 300/600 or 21/75 < 20/40
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