Compare 40/21 and 90/20
1st number: 1 19/21, 2nd number: 4 10/20
40/21 is smaller than 90/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 21 × 20 = 420,
40/21 = 40 × 20/21 × 20 = 800/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
90/20 = 90 × 21/20 × 21 = 1890/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 800/420 < 1890/420 or 40/21 < 90/20
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