Compare 10/84 and 5/20
10/84 is smaller than 5/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
10/84 = 10 × 5/84 × 5 = 50/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
5/20 = 5 × 21/20 × 21 = 105/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/420 < 105/420 or 10/84 < 5/20
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