Compare 6/45 and 45/4
1st number: 6/45, 2nd number: 11 1/4
6/45 is smaller than 45/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 4 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
6/45 = 6 × 4/45 × 4 = 24/180 - Likewise, for the 2nd fraction, since 4 × 45 = 180,
45/4 = 45 × 45/4 × 45 = 2025/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/180 < 2025/180 or 6/45 < 45/4
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