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Fraction to Decimal Chart

When a non-zero whole number is divided by another non-zero whole number that leaves a remainder that is not equal to zero, it results in a decimal number. Any number can be expressed as a decimal by proceeding with a '.' and a 0. For example, 3 can also be written as 3.0. Decimal numbers have a whole number part and a fractional part. These two parts of numbers are separated by a dot or a point(.). A fraction consists of a numerator and a denominator. When the numerator is divided by the denominator in a fraction, it either results in a whole number or a decimal. Sometimes we may require to convert the fraction into a decimal form. For example, when we say 1/2 kilograms, it can more precisely be expressed when the fraction is converted to decimal as 0.5 kilograms. Let us look at how it is useful and how the conversion from a fraction to a decimal is done.

1. Fraction to Decimal Chart
2. Conversion of Fraction to Decimal
3. Uses of Fraction to Decimal Chart
4. Solved Examples
5. Practice Questions
6. FAQs on Fraction to Decimal Chart

Fraction to Decimal Chart

Fractions are converted to decimals to express and read numbers easily. For example, let us say that the diameter of a circle is 9 units. To calculate the radius we need to divide it by 2. 9/2 gives 4.5 as the answer. Therefore, converting the fraction 9/2 to 4.5 gives a clear picture of how much is the radius of the circle. Fraction to decimal conversion is more common in the conversion of metric units. For example, 1 kilogram equals 1000 grams. So, how do we express the value of 500 grams? We divide 500 by 1000, which gives 1/2 or 0.5. Sometimes, there are fractions where the fractional part never terminates. For example, the value of pi in math has a non-terminating decimal part. The fraction to the decimal table shows some of the fraction to decimal conversions from 1 to 1/10.

Fraction  Decimal Equivalent (Rounded off to 3 decimal places.)
1/1 1.0
1/2 0.5
1/3 0.333
1/4 0.25
1/5 0.2
1/6 0.166
1/7 0.142
1/8 0.125
1/9 0.111
1/10 0.1

We can observe, that the numerator is the same and as the denominator increases, the corresponding decimal values of all the fractions decreases. 

Conversion of Fraction to Decimal

To convert a fraction to a decimal, follow the steps given below:

  • Take the numerator part as the dividend and the denominator part as the divisor.
  • If the dividend is less than the divisor, then add a point and a zero to the dividend.
  • Divide the dividend by the divisor.
  • Add a "0." to the left of the quotient and express the fraction as a decimal.

Let us look at some examples of how to do this. 

Conversion of Fraction to Decimal

Uses of Fraction to Decimal Chart

Fraction to decimal chart gives us the values of some most commonly used fractions in decimals. Fractions can be less than 1 or greater than 1. Fractions that are less than 1 have a numerator less than the denominator. They are called proper fractions. Fractions that have a numerator greater than the denominator are called improper fractions. Writing a fraction as a decimal gives more precision. Decimals come into the picture when we measure the length of an object, calculating the weight of objects, and many more. Every time we will not be left with an integer or a whole number as an answer. To be more clear on how the numbers will look like, we use decimals. 

Fraction to Decimal Chart

Topics Related to Fraction to Decimal Chart

Here are a few topics that are related to the fraction to decimal chart.

 

Solved Examples

  1. Example 1: Convert the following fractions to decimals.

    a) 2 /10 b) 3 / 9

    Solution:

    The fractions 2/10 and 3/5 can be converted to a decimal using the division process by following the steps given below.

    • Take the numerator part as the dividend and the denominator part as the divisor.
    • If the dividend is less than the divisor, then add a point and a zero to the dividend.
    • Divide the dividend by the divisor.
    • Add a "0." to the left of the quotient and express the fraction as a decimal.

    a) 2/10
    Let us take the dividend as 2 and the divisor is 10. Place a decimal point and two zeroes after 2 and do the division. The quotient will be 20. Now, precede the quotient by a (0.). Hence the answer is 0.20 or just 0.2.

    b) 3/9

    To convert 3/9 to a decimal, follow the steps given below.

    Take 3 as the dividend and 9 as the divisor. Since 3 is less than 9, add a point and a 0 after 3 and do the division. If the remainder is not 0, then add another 0 to the right of the dividend and make it as 3.00 and continue the division. The quotient will be 333.... since the remainder of 1 repeats itself every time. At last place a (0.) before 333. Since this fraction has a non-terminating decimal, we will round the number to 3 decimal places and express the answer as 0.333.

  2. Example 2: In an online test the scores of Robin in two tests were 20 out of 25 and 25 out of 30 respectively. Express the points scored by Robin in decimals.

    Solution:

    Marks scored by Robin in test 1 = 20/25
    Simplifying the fraction we get, 4/5
    Converting 4/5 into decimal we get, 0.8.

    Similarly, marks scored by Robin in test 2 = 25/30.
    Simplifying the fraction we get, 5/6
    Converting 5/6 into decimal we get, 0.833(rounded off to 3 decimal places)

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FAQs on Fraction to Decimal Chart

How Do You Convert a Fraction to a Decimal?

To convert a fraction to a decimal, follow the steps given below. 

  • Take the numerator of the fraction as the dividend and the denominator as the divisor.
  • If the numerator is less than the denominator. add a point and a 0 after the dividend. 
  • Do the usual division with the dividend and the divisor. 
  • At last, precede the quotient with (0.). 
  • If the remainder keeps recurring, then the decimal can be truncated to a specific number of decimal places.

For example, converting 1/4 to decimal gives 0.25.

Using the Fraction to Decimal Chart, Convert 1/32 into Decimal.

Using the decimal to fraction chart, the value of 1/32 is 0.03125. In this fraction, 1 is the dividend, and 32 is the divisor. We perform the division operation until the remainder is 0. Finally, we arrive at the answer of 0.03125.

List Down the Steps of Conversion of The Fraction 2/5 to Decimal. 

The decimal value of 2/5 is 0.4. To convert 2/5 into a decimal, follow the steps listed below:

  • Take 2 as the dividend and 5 as the divisor.
  • Since 2 is less than 5, we add a decimal point and a 0 after 2 and do the division.
  • Add a (0.) to the quotient. 

Convert 1/16 Using The Fraction To Decimal Chart.

Using the fraction to decimal chart the value of 1/16 is 0.0625. This conversion is done by dividing 1 by 16, which means 1 is the dividend and 16 is the divisor until we get the remainder as 0 or a number less than the divisor. 

What is the Value of 5/8 as per the Fraction to Decimal Chart?

The fraction to decimal chart lists out some commonly used fractions and their decimal values. As per the fraction to decimal chart, the value of 5/8 is 0.625.

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