Compare 10/70 and 10/75
10/70 is greater than 10/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 70 × 15 = 1050,
10/70 = 10 × 15/70 × 15 = 150/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
10/75 = 10 × 14/75 × 14 = 140/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/1050 > 140/1050 or 10/70 > 10/75
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