Compare 6/24 and 70/75
6/24 is smaller than 70/75
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,
6/24 = 6 × 25/24 × 25 = 150/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
70/75 = 70 × 8/75 × 8 = 560/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/600 < 560/600 or 6/24 < 70/75
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