Compare 6/72 and 70/75
6/72 is smaller than 70/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 75 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 72 × 25 = 1800,
6/72 = 6 × 25/72 × 25 = 150/1800 - Likewise, for the 2nd fraction, since 75 × 24 = 1800,
70/75 = 70 × 24/75 × 24 = 1680/1800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/1800 < 1680/1800 or 6/72 < 70/75
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