Question

A supplier makes rulers that are supposed to be at least 0.78 inch wide. However, the machine that makes the rulers has been having problems. The table shows a sample of eight rulers and their widths. A supervisor states that if at least half of the samples are smaller than the desired width, he will call someone to fix the machine. Explain whether he needs to he needs to call. Convert 0.78 to a simplified fraction in your answer.

Answer 1

The true statements are:

• The supervisor does not need to call someone
• 0.78 as a simplified fraction is 39/50

What are Fractions?

Fractions are numbers that are represented as the quotient of two integers

From the table, we have the following measurements

39/50 inch, 4/5 inch, 76/99 inch, 1/2 inch, 26/33 inch, 9/10 inch, 2/3 inch and 7/9 inch

Convert the fractions to decimal

0.78 inch, 0.80 inch, 0.77 inch, 0.50 inch, 0.78 inch, 0.90 inch, 0.67 inch and 0.78 inch

From the list of measurements,

3 lengths are less than 0.78 inch wide

This is less than half the number of rulers (i.e 4)

Hence, the supervisor does not need to call someone

When the fractions are converted to decimal, we have:

$\frac{39}{50} = 0.78$

This means that:

0.78 as a simplified fraction is 39/50

Read more about fractions and decimals at:

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