Question

Jose, baulus, and George are having a disagreement over interest rates. Jose says that 6 3/4% can be expressed as 6.75%. George thinks that 6 3/4% can be expressed as 0.0675. Baulus remembers converting percents to equivalent decimals and thinks it can be expressed as 0.0675%. Who is correct, and who is incorrect? Explain each choice.

Answer 1

Jose and George are correct

Baulus is incorrect

Explanation:

Given

`6(3)/(4)`%

Required

Compare the above expression with

Jose: 6.75%.

George: 0.0675

Baulus: 0.0675%

The expression
`6(3)/(4)`% is given as a mixed fraction;

In Jose's case, he simply converted it to decimal

Converting
`6(3)/(4)`% to decimal;

First, we need to convert to improper fraction

`6(3)/(4)`% in improper fraction is
`(27)/(4)`%

Then, we divide the numerator by the denominator

`(27)/(4)`% = 6.75%.

Hence, Jose is correct

In George's case, he solved further by removing the % from Jose's answer.

% means divided by 100; In other words, x% means that we divide x by 100

So, 6.75% means we divide 6.75 by 100

`(6.75)/(100)` = 0.0675

Hence, George is also correct

But same can't be said of Baulus;

Baulus converted
`6(3)/(4)`% as 0.0675%

This means that he converted
`6(3)/(4)` as 0.0675 then he appended it with the percentage sign (%)

Since
`6(3)/(4)` is not equal to 0.0675, then we can conclude that Baulus is incorrect