Compare 1/90 and 7/4
1st number: 1/90, 2nd number: 1 3/4
1/90 is smaller than 7/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 4 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 90 × 2 = 180,
1/90 = 1 × 2/90 × 2 = 2/180 - Likewise, for the 2nd fraction, since 4 × 45 = 180,
7/4 = 7 × 45/4 × 45 = 315/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2/180 < 315/180 or 1/90 < 7/4
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