Compare 21/75 and 40/20
1st number: 21/75, 2nd number: 2 0/20
21/75 is smaller than 40/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 20 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
21/75 = 21 × 4/75 × 4 = 84/300 - Likewise, for the 2nd fraction, since 20 × 15 = 300,
40/20 = 40 × 15/20 × 15 = 600/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/300 < 600/300 or 21/75 < 40/20
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