Compare 1/10 and 20/84
1/10 is smaller than 20/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
1/10 = 1 × 42/10 × 42 = 42/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
20/84 = 20 × 5/84 × 5 = 100/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/420 < 100/420 or 1/10 < 20/84
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