A calculator manufacturing company checks 500 calculator units, and 25 of them have non-functioning keys. Approximate the relative frequency of a non-defective unit from this batch of items. Express your answer in the simplest form of a fraction.(1 point)

Question

Responses

475/500
Start Fraction 475 over 500 End Fraction

25/500
Start Fraction 25 over 500 End Fraction

1/20
Start Fraction 1 over 20 End Fraction

19/20

___

Answer 1

To find the relative frequency of a non-defective unit, you first need to determine how many units are functioning.

Given:

• Total units checked = 500
• Non-functioning units = 25

The number of functioning (non-defective) units is: \[ 500 - 25 = 475 \]

Now, the relative frequency of a non-defective unit is calculated as follows: \[ \text{Relative frequency} = \frac{\text{Number of non-defective units}}{\text{Total units checked}} = \frac{475}{500} \]

Next, we can simplify the fraction \(\frac{475}{500}\):

• The greatest common divisor (GCD) of 475 and 500 is 25.
• Now, divide both the numerator and the denominator by their GCD:

\[ \frac{475 \div 25}{500 \div 25} = \frac{19}{20} \]

Thus, the simplified fraction representing the relative frequency of a non-defective unit is: \[ \frac{19}{20} \]

The answer is: 19/20