Compare 10/20 and 70/75
10/20 is smaller than 70/75
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,
10/20 = 10 × 15/20 × 15 = 150/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
70/75 = 70 × 4/75 × 4 = 280/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/300 < 280/300 or 10/20 < 70/75
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