Method

Converting a Decimal Number Into a Fraction

It is possible to convert a decimal number into a fraction and the other way around. Consider the following decimal number. 0.56 A decimal number can be rewritten as a fraction in three steps.

Count the Number of Decimal Places n

The number 0.56 can be read as 56 hundredths. There are two decimal places.

Write as a Fraction With the Denominator of 10^n

The number has 2 decimal places. This means that 0.56 can be written it as a fraction with a numerator of 56 and with a denominator of 10^2. 0.56=56/10^2 ⇓ 0.56=56/100

Simplify the Fraction

Next, check whether 56100 can be simplified. Start by splittting the numerator and denominator into prime factors. 56 & = 2* 2* 2* 7 100 & = 2* 2* 5* 5 The numbers share two common factors. Their product is the GCF of 56 and 100. GCF(56,100)=2* 2=4 Finally, divide both the numerator and denominator by 4.

56/100

ReduceFrac

a/b=.a /4./.b /4.

56 ÷ 4/100 ÷ 4

CalcQuot

Calculate quotient

14/25

The fractions 1425 and 56100 are equivalent and they both correspond to the decimal 0.56.

Extra

Interact With an Applet That Converts Decimals to Fractions

Submit a decimal number between 1 and 0.001 with no more than 3 digits after the decimal point. Then, the process of converting that decimal into a fraction will be shown.

$The submitted decimal is converted to a fraction$

Extra

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