Express 0.9534 as a fraction

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the decimal.

0.9534

Express in Fraction.

Solution:

In order to express a decimal in fraction, we must first determine what is the least place value that the decimal have. The number places with decimals starts with; tenths, hundredths, thousandths, ten thousandths, hundred thousandths, and so on. 

The given decimal has 4 units to the left, meaning that it has a place value of ten thousandths. Now to convert the decimal into fraction, we will put the decimal as a whole in the numerator, and divide it by ten thousand, hence if the place value is hundred thousandths, we divide it by one hundred thousands.

= 9,534 / 10,000

Simplify in lowest term by dividing with 2.

= 4767/ 5000

Final answer:

4767/5000