Compare 10/75 and 7/20
10/75 is smaller than 7/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 20 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
10/75 = 10 × 4/75 × 4 = 40/300 - Likewise, for the 2nd fraction, since 20 × 15 = 300,
7/20 = 7 × 15/20 × 15 = 105/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/300 < 105/300 or 10/75 < 7/20
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