Compare 2/24 and 7/75
2/24 is smaller than 7/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 24 × 25 = 600,
2/24 = 2 × 25/24 × 25 = 50/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
7/75 = 7 × 8/75 × 8 = 56/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/600 < 56/600 or 2/24 < 7/75
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