Question

Write 1.75 % as decimal AND simplified fraction. ANS. As decimal __________. As simplified fraction. ________.

Answer 1

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

`(1.75)/(100)=0.0175`

Therefore, as a decimal is 0.0175.

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

`(175)/(10000)`

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

`(175\colon5)/(10000\colon5)=(35)/(2000)=(7)/(400)`

Once we get the simplest fraction, we can finish.

Therefore, as a simplified fraction is 7/400.