Compare 9/8 and 75/20
1st number: 1 1/8, 2nd number: 3 15/20
9/8 is smaller than 75/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 20 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 8 × 5 = 40,
9/8 = 9 × 5/8 × 5 = 45/40 - Likewise, for the 2nd fraction, since 20 × 2 = 40,
75/20 = 75 × 2/20 × 2 = 150/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/40 < 150/40 or 9/8 < 75/20
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