Write 1.75 % as decimal AND simplified fraction. ANS. As decimal __. As simplified fraction. .

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03-11-2022
Mathematics

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Write 1.75 % as decimal AND simplified fraction. ANS. As decimal __. As simplified fraction. .

Sagot :

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JaymarieE296349idn JaymarieE296349idn · Answer 1 · 2022-11-03T17:20:38-04:00

The given percentage is 1.75%.

To find the decimal expression of this percentage, we just have to divide it by 100. It's important to know that when we divide a number by 100, we just have to move the decimal point two spots to the left, as follows

[tex]\frac{1.75}{100}=0.0175[/tex]

Therefore, as a decimal is 0.0175.

Now, to find the simplified fraction, we divide the number by 10000, as follows

[tex]\frac{175}{10000}[/tex]

The reason for dividing by 10000 is that we need to have a whole number in the numerator, so the extra two zeros allow us to get rid of the two of the number. Now, we simplify the fraction dividing each part by 5

[tex]\frac{175\colon5}{10000\colon5}=\frac{35}{2000}=\frac{7}{400}[/tex]

Once we get the simplest fraction, we can finish.

Therefore, as a simplified fraction is 7/400.

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