Compare 1/21 and 48/5
1st number: 1/21, 2nd number: 9 3/5
1/21 is smaller than 48/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 5 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
1/21 = 1 × 5/21 × 5 = 5/105 - Likewise, for the 2nd fraction, since 5 × 21 = 105,
48/5 = 48 × 21/5 × 21 = 1008/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 5/105 < 1008/105 or 1/21 < 48/5
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