compare 48/60 to 32/40

Answer 1

To compare the fractions \( \frac{48}{60} \) and \( \frac{32}{40} \), we can simplify both fractions and then compare their values.

1. Simplifying \( \frac{48}{60} \):

   • Both the numerator and denominator can be divided by their greatest common divisor (GCD), which is 12. \[ \frac{48 \div 12}{60 \div 12} = \frac{4}{5} \]

2. Simplifying \( \frac{32}{40} \):

   • Both the numerator and denominator can be divided by their GCD, which is 8. \[ \frac{32 \div 8}{40 \div 8} = \frac{4}{5} \]

Now that both fractions are simplified, we have:

• \( \frac{48}{60} = \frac{4}{5} \)
• \( \frac{32}{40} = \frac{4}{5} \)

Since both fractions are equal, we conclude that: \[ \frac{48}{60} = \frac{32}{40} \]