Compare 1/84 and 42/80
1/84 is smaller than 42/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 80 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 84 × 20 = 1680,
1/84 = 1 × 20/84 × 20 = 20/1680 - Likewise, for the 2nd fraction, since 80 × 21 = 1680,
42/80 = 42 × 21/80 × 21 = 882/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/1680 < 882/1680 or 1/84 < 42/80
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