Compare 45/7 and 21/24
1st number: 6 3/7, 2nd number: 21/24
45/7 is greater than 21/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 7 × 24 = 168,
45/7 = 45 × 24/7 × 24 = 1080/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
21/24 = 21 × 7/24 × 7 = 147/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1080/168 > 147/168 or 45/7 > 21/24
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