Compare 75/7 and 28/24
1st number: 10 5/7, 2nd number: 1 4/24
75/7 is greater than 28/24
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,
75/7 = 75 × 24/7 × 24 = 1800/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
28/24 = 28 × 7/24 × 7 = 196/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1800/168 > 196/168 or 75/7 > 28/24
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