What is 0.35714285714 as a fraction?
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the decimal:
0.35714285714
Write as fraction.
Solution:
In order to change the decimal to fraction, simply determine the place value of the decimal. For decimals, the number places starts with; tenths, hundredths, thousandths, ten thousandths, hundred thousandths, and so on. In our case we have 11 decimal places, and the highest place value is hundred billionths, therefore, we will treat the decimal as a whole number, divide by hundred billion.
= 35,714,285,714/100,000,000,000
In order to determine its lowest term, we simply divide or factor out 2from the numerator and the denominator.
= 1.895714286 x10^10/5 x 10^10
Divide again by 4
= 4,739,285,715/1.25 x 10^10
Divide by 5.
= 947,857,143/2500,000,000
Final answer:
= 947,857,143/2500,000,000