User:
Rational numbers
Convert between fractions and decimals

Convert fractions to decimals
Every fraction can be writen as a decimal. To write a fraction as a decimal, divide the numerator of the fraction by the denominator. The quotient can be rounded to the desired place value.

Convert $\frac{3}{7}$ to a decimal.
 $\frac{3}{7}$ rounded to the nearest hundredth is 0.43. $\frac{3}{7}$ rounded to the nearest thousandth is 0.429. $\frac{3}{7}$ rounded to the nearest ten-thousandth is 0.4286.

Convert $3\frac{2}{9}$ to a decimal. Round to the nearest thousandth.

 $3\frac{2}{9}=\frac{29}{9}$

$3\frac{2}{9}$ rounded to the nearest thousandth is 3.222.

Convert decimals to fractions

To convert a decimal to a fraction, remove the decimal point and place the decimal part over a denominator equal to the place value of the last digit in the decimal.

Convert 0.47 to a fraction.

$0.47=\;\frac{47}{100}$

Convert 0.265 to a fraction.

$0.265=\;\frac{265}{1000}=\frac{53}{200}$