Compare 40/75 and 21/4
1st number: 40/75, 2nd number: 5 1/4
40/75 is smaller than 21/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 4 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300 - Likewise, for the 2nd fraction, since 4 × 75 = 300,
21/4 = 21 × 75/4 × 75 = 1575/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/300 < 1575/300 or 40/75 < 21/4
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