Compare 30/24 and 48/7
1st number: 1 6/24, 2nd number: 6 6/7
30/24 is smaller than 48/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 7 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
30/24 = 30 × 7/24 × 7 = 210/168 - Likewise, for the 2nd fraction, since 7 × 24 = 168,
48/7 = 48 × 24/7 × 24 = 1152/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/168 < 1152/168 or 30/24 < 48/7
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