Compare 10/40 and 45/8
1st number: 10/40, 2nd number: 5 5/8
10/40 is smaller than 45/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 8 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 40 × 1 = 40,
10/40 = 10 × 1/40 × 1 = 10/40 - Likewise, for the 2nd fraction, since 8 × 5 = 40,
45/8 = 45 × 5/8 × 5 = 225/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/40 < 225/40 or 10/40 < 45/8
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