Compare 1/24 and 70/21
1st number: 1/24, 2nd number: 3 7/21
1/24 is smaller than 70/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
1/24 = 1 × 7/24 × 7 = 7/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
70/21 = 70 × 8/21 × 8 = 560/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/168 < 560/168 or 1/24 < 70/21
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