Compare 45/10 and 81/8
1st number: 4 5/10, 2nd number: 10 1/8
45/10 is smaller than 81/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 8 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 10 × 4 = 40,
45/10 = 45 × 4/10 × 4 = 180/40 - Likewise, for the 2nd fraction, since 8 × 5 = 40,
81/8 = 81 × 5/8 × 5 = 405/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/40 < 405/40 or 45/10 < 81/8
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