What is 0.32 expressed as a simplified fraction?(1 point)

Responses

32100
32 over 100

16100
16 over 100

165
16 fifths

825

1 answer

To express 0.32 as a simplified fraction, follow these steps:

  1. Write 0.32 as a fraction: \[ 0.32 = \frac{32}{100} \]

  2. Simplify the fraction:

    • Both the numerator (32) and the denominator (100) can be divided by their greatest common divisor (GCD), which is 4.
    • Dividing both by 4: \[ \frac{32 \div 4}{100 \div 4} = \frac{8}{25} \]

So, the simplified fraction is \(\frac{8}{25}\).

However, looking at the original responses provided:

  • 32 over 100 (not simplified)
  • 16 over 100 (not correct)
  • 16 fifths (not correct)
  • 825 (not correct)

None of the options you provided accurately represent 0.32 as a simplified fraction.

The correct answer is \(\frac{8}{25}\), which is not listed among your response options.