Compare 75/21 and 2/5
1st number: 3 12/21, 2nd number: 2/5
75/21 is greater than 2/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 5 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
75/21 = 75 × 5/21 × 5 = 375/105 - Likewise, for the 2nd fraction, since 5 × 21 = 105,
2/5 = 2 × 21/5 × 21 = 42/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 375/105 > 42/105 or 75/21 > 2/5
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