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Convert to decimal and round to nearest thousandth

Convert to decimal and round to nearest thousandth-example-1
User Jameek
by
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1 Answer

4 votes

Answer:

0.43

Explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

3 / 7 = 0.428

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 428

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule II applies, so 3/7 (or 0.428) rounded to the nearest hundredth in decimal format is:

0.43

Next, we will make 3/7 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.43 = 0.43/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.43 x 100) / (1 x 100) = 43/100

That's it. 3/7 rounded to the nearest hundredth is displayed below (simplified if necessary):

43/100

User SickDimension
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