Compare 75/90 and 30/4
1st number: 75/90, 2nd number: 7 2/4
75/90 is smaller than 30/4
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,
75/90 = 75 × 2/90 × 2 = 150/180 - Likewise, for the 2nd fraction, since 4 × 45 = 180,
30/4 = 30 × 45/4 × 45 = 1350/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/180 < 1350/180 or 75/90 < 30/4
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