Aarav says: 'If two positive fractions have the same difference between numerator and denominator, the one with the larger numbers is greater.' Test his rule on 3/5 and 5/7 (both have denominator minus numerator = 2). Which fraction is greater?

Question

Accepted Answer

5/7. Cross-multiply: 3 x 7 = 21, 5 x 5 = 25. Since 21 < 25, 3/5 < 5/7. The larger-numbers fraction 5/7 is greater, so the rule holds here.

Aarav says: 'If two positive fractions have the same difference between numerator and denominator, the one with the larger numbers is greater.'
Test his rule on $\frac{3}{5}$ and $\frac{5}{7}$ (both have denominator minus numerator = 2). Which fraction is greater?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Comparing Rational Numbers practice

Aarav says: 'If two positive fractions have the same difference between numerator and denominator, the one with the larger numbers is greater.'Test his rule on 53​ and 75​ (both have denominator minus numerator = 2). Which fraction is greater?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Comparing Rational Numbers practice

Aarav says: 'If two positive fractions have the same difference between numerator and denominator, the one with the larger numbers is greater.'
Test his rule on $\frac{3}{5}$ and $\frac{5}{7}$ (both have denominator minus numerator = 2). Which fraction is greater?