Compare 40/25 and 75/10
1st number: 1 15/25, 2nd number: 7 5/10
40/25 is smaller than 75/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 10 is 50
Next, find the equivalent fraction of both fractional numbers with denominator 50 - For the 1st fraction, since 25 × 2 = 50,
40/25 = 40 × 2/25 × 2 = 80/50 - Likewise, for the 2nd fraction, since 10 × 5 = 50,
75/10 = 75 × 5/10 × 5 = 375/50 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/50 < 375/50 or 40/25 < 75/10
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