Compare 21/3 and 40/8
1st number: 7 0/3, 2nd number: 5 0/8
21/3 is greater than 40/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 8 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 3 × 8 = 24,
21/3 = 21 × 8/3 × 8 = 168/24 - Likewise, for the 2nd fraction, since 8 × 3 = 24,
40/8 = 40 × 3/8 × 3 = 120/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/24 > 120/24 or 21/3 > 40/8
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