Compare 32/3 and 45/24
1st number: 10 2/3, 2nd number: 1 21/24
32/3 is greater than 45/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 24 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 3 × 8 = 24,
32/3 = 32 × 8/3 × 8 = 256/24 - Likewise, for the 2nd fraction, since 24 × 1 = 24,
45/24 = 45 × 1/24 × 1 = 45/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 256/24 > 45/24 or 32/3 > 45/24
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