Compare 45/8 and 75/40
1st number: 5 5/8, 2nd number: 1 35/40
45/8 is greater than 75/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 40 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 8 × 5 = 40,
45/8 = 45 × 5/8 × 5 = 225/40 - Likewise, for the 2nd fraction, since 40 × 1 = 40,
75/40 = 75 × 1/40 × 1 = 75/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/40 > 75/40 or 45/8 > 75/40
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