Compare 75/40 and 45/25
1st number: 1 35/40, 2nd number: 1 20/25
75/40 is greater than 45/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 25 is 200
Next, find the equivalent fraction of both fractional numbers with denominator 200 - For the 1st fraction, since 40 × 5 = 200,
75/40 = 75 × 5/40 × 5 = 375/200 - Likewise, for the 2nd fraction, since 25 × 8 = 200,
45/25 = 45 × 8/25 × 8 = 360/200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 375/200 > 360/200 or 75/40 > 45/25
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