Compare 8/20 and 45/75
8/20 is smaller than 45/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 20 × 15 = 300,
8/20 = 8 × 15/20 × 15 = 120/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
45/75 = 45 × 4/75 × 4 = 180/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/300 < 180/300 or 8/20 < 45/75
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