Compare 30/20 and 90/45
1st number: 1 10/20, 2nd number: 2 0/45
30/20 is smaller than 90/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
30/20 = 30 × 9/20 × 9 = 270/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
90/45 = 90 × 4/45 × 4 = 360/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/180 < 360/180 or 30/20 < 90/45
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