College

What is the simplest form of the fraction below?

[tex]\frac{32}{40}[/tex]

A. [tex]\frac{4}{2}[/tex]
B. [tex]\frac{4}{5}[/tex]
C. [tex]\frac{8}{3}[/tex]
D. [tex]\frac{4}{6}[/tex]

Answer :

To simplify the fraction [tex]$$\frac{32}{40},$$[/tex] follow these steps:

1. Find the greatest common divisor (GCD):
The GCD of 32 and 40 is 8.

2. Divide the numerator and the denominator by the GCD:
Divide 32 by 8 and 40 by 8:
[tex]$$
\frac{32}{40} = \frac{32 \div 8}{40 \div 8} = \frac{4}{5}.
$$[/tex]

Therefore, the simplest form of the fraction is [tex]$$\frac{4}{5},$$[/tex] which corresponds to option B.