Compare 6/75 and 9/4
1st number: 6/75, 2nd number: 2 1/4
6/75 is smaller than 9/4
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,
6/75 = 6 × 4/75 × 4 = 24/300 - Likewise, for the 2nd fraction, since 4 × 75 = 300,
9/4 = 9 × 75/4 × 75 = 675/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/300 < 675/300 or 6/75 < 9/4
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