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Troyanec [42]
3 years ago
10

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.
Mathematics
1 answer:
otez555 [7]3 years ago
8 0

Answer:

Jose and George are correct

Baulus is incorrect

Step-by-step explanation:

Given

6\frac{3}{4}%

Required

Compare the above expression with

Jose: 6.75%.

George: 0.0675

Baulus: 0.0675%

<em>The expression </em>6\frac{3}{4}<em>% is given as a mixed fraction;</em>

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

Converting 6\frac{3}{4}% to decimal;

First, we need to convert to improper fraction

6\frac{3}{4}% in improper fraction is \frac{27}{4}%

Then, we divide the numerator by the denominator

\frac{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

\frac{6.75}{100} = 0.0675

Hence, George is also correct

But same can't be said of Baulus;

Baulus converted 6\frac{3}{4}% as 0.0675%

This means that he converted 6\frac{3}{4} as 0.0675 then he appended it with the percentage sign (%)

Since 6\frac{3}{4} is not equal to 0.0675, then we can conclude that Baulus is incorrect

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