Compare 10/75 and 12/24
10/75 is smaller than 12/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 24 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
10/75 = 10 × 8/75 × 8 = 80/600 - Likewise, for the 2nd fraction, since 24 × 25 = 600,
12/24 = 12 × 25/24 × 25 = 300/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/600 < 300/600 or 10/75 < 12/24
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