Compare 8/21 and 45/80
8/21 is smaller than 45/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 80 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 21 × 80 = 1680,
8/21 = 8 × 80/21 × 80 = 640/1680 - Likewise, for the 2nd fraction, since 80 × 21 = 1680,
45/80 = 45 × 21/80 × 21 = 945/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/1680 < 945/1680 or 8/21 < 45/80
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