Fraction to Decimal Calculator

Now convert fractions into decimal equivalents values quickly using the fraction to decimal calculator with steps.

Round to this nearest place value
Please wait... loading-icon

Table of Contents:

Introduction to Fraction to Decimal Calculator

Fraction to decimal calculator is a digital tool that is designed to help you easily convert fractions into decimal equivalent values. Our tool can calculate the proper fraction, improper, or ratio terms into decimal numbers with tenth, hundredth, or thousandth place values.

Equivalent Fractions Calculator with Steps

The fraction to decimal converter is a valuable tool for students, teachers, and professionals who want to calculate fractions into decimals without doing the manual effort. That is why this calculator is specially designed to solve fraction problems quickly or easily.

What is a Fraction to Decimal

A fraction-to-decimal is a method of conversion in which a fraction change into a decimal number. This conversion process of a fraction for a decimal can be achieved through division, the long division method.

It is a useful method that is not only helpful in mathematics but also in many scientific experiments where we need precise measurement or calculation or in finance for finding the percentage or interest ratio problems.

How to Convert a Decimal into a Fraction

For the conversion of a fraction into a decimal, the fractions to decimals calculator follows these instructions which you can also follow to understand how to convert a fraction into a decimal.

It is a straightforward method that is used by the Fraction to decimal calculator to solve problems and you can also use it to get the solution. Suppose you have 7/6 as a fraction and you want to convert it into decimal form so, here is the step that you follow.

Step 1:

Following the steps of fractions calculator to decimals, Firstly, divide the given fraction 7/6 as the numerator 7 divided by the denominator 6 as 7÷6

Step 2:

After division, you get the solution in decimal numbers. Here’s how the fraction decimal calculator represents it,

\begin{array}{r} 1.166 \\[-3pt] 6 \enclose{longdiv}{7.000} \\[-3pt] \underline{-6}\phantom{2} \\[-3pt] 10 \\[-3pt] \underline{-6} \\[-3pt] 40 \\[-3pt] \underline{-36} \\[-3pt] 40 \\[-3pt] \underline{-36} \\[-3pt] 4 \end{array}

Step 3:

If the given fraction has a larger number then the fraction decimal converter uses the GCD method which you can also use to divide both the number with the common factor and then reduce it into a simplified form and then divide it to get a solution in decimal.

Convert Fraction to Decimal - Example

The fraction to decimal calculator can convert fractions to decimals easily but it’s also important to understand the manual calculation process and for that we give an example,

Example:

What decimal is equivalent to 1/5 fraction

Solution:

The given fraction is

$$\frac{1}{5}$$

Same as division

$$ 1 \div 5 $$

\begin{array}{r} 0.2 \\[-3pt] 5 \enclose{longdiv}{1.0} \\[-3pt] \underline{-0}\phantom{2} \\[-3pt] 10 \\[-3pt] \underline{-10} \\[-3pt] 0 \end{array}

Therefore the solution for 1/5 is 0.2.

Example:

What decimal is equivalent to the fraction 7/10

Solution:

The given fraction is

$$ \frac{7}{10} $$

Same as division

$$ 7 \div 10 $$

\begin{array}{r} 0.7 \\[-3pt] 10 \enclose{longdiv}{7.0} \\[-3pt] \underline{-0}\phantom{2} \\[-3pt] 70 \\[-3pt] \underline{-70} \\[-3pt] 0 \end{array}

Therefore the solution for 7/10 is 0.7.

The fraction to decimal conversion calculator provides solution in this form which makes easier for everyone to understand the concept.

How to Use Fraction to Decimal Calculator

The fraction to decimal converter has a user-friendly design that enables you to use it easily to calculate fraction to decimals questions.

Before adding the input in fractions to decimals calculator for getting solution of different types of fractions, you just need to follow our instructions. These instructions are:

  1. Enter the numerator or denominator in the input box to find the fraction-to-decimal question solution.
  2. Recheck your input number value before hitting the calculate button to start the calculation process of the fraction decimal calculator.
  3. Click on the “Calculate” button to get the desired result of your given fraction value.
  4. If you are trying out our fractions into decimals calculator for the first time then you can use the load example.
  5. Click on the “Recalculate” button to get a new page for solving more fraction problems to get solutions in decimals.

What Output Fraction to Decimal Converter Gave?

The fraction to decimal calculator gives you the solution to a given fraction problem when you add the input to it. It provides you with solutions in decimal number place value. It may contain as:

  • Result option

You can click on the result option of fraction decimal converter which will provide you a solution for fraction to decimal number question.

  • Possible step

When you click on the possible steps option it provides you with the solution of fraction to decimal problems in steps.

Useful Features of Fractions to Decimals Calculator

The fraction to decimal conversion calculator has various useful features that gets whenever you use it to calculate fraction problems for finding decimal number in solutions. These features are:

  • Our fractions into decimals calculator saves the time and effort that you consume in doing lengthy calculations of improper fractions to decimals in a few seconds.
  • It is a free tool so you can use it to convert fractions to decimals easily.
  • The fraction to decimal converter is an adaptive tool that can operate on different electronic devices like laptops, computers, mobile, tablets, etc.
  • It is a learning tool so you can use it to convert fraction to decimal’s practices which will improve your mathematical knowlege.
  • The fraction decimal calculator is a trustworthy tool that provides you with accurate solutions according to your input fraction whenever you use it to get a solution.
  • Fraction to decimal calculator provides you solution with a complete process in a step-by-step method for a better understanding.
Related References
Frequently Ask Questions

What decimal is also related to the fraction 11/20?

The given fraction is,

$$ \frac{11}{20} \;=\; 11 ÷ 20 $$

$$ \require{enclose} \begin{array}{r} 00.55 \\[-3pt] 20 \enclose{longdiv}{11.00} \\[-3pt] \underline{-0}\phantom{2} \\[-3pt] 11 \\[-3pt] \underline{- 0} \phantom{2} \\[-3pt] 110 \\[-3pt] \underline{- 100} \phantom{2} \\[-3pt] 100 \\[-3pt] \underline{- 100} \phantom{2} \\[-3pt] 0 \\[-3pt] \end{array} $$

Therefore the solution for 11/20 is 0.55.

What decimal is equivalent to the fraction 3/4?

The given fraction is,

$$ \frac{3}{4} \;=\; 3 ÷ 4 $$

$$ \require{enclose} \begin{array}{r} 0.75 \\[-3pt] 4 \enclose{longdiv}{3.00} \\[-3pt] \underline{-0}\phantom{2} \\[-3pt] 30 \\[-3pt] \underline{- 28} \phantom{2} \\[-3pt] 20 \\[-3pt] \underline{- 20} \phantom{2} \\[-3pt] 0 \\[-3pt] \end{array} $$

Therefore the solution for 3/4 is 0.75

What fraction is equal to the decimal 0.32?

The given decimal number is,

$$ 0.32 \;=\; \frac{0.32}{1} $$

Multiply to remove 2 decimal places, here you multiply top and bottom by 102 = 100.

$$ \frac{0.32}{1} \times \frac{100}{100} \;=\; \frac{32}{100} $$

Find GCF to reduce the given fraction,

$$ \frac{32 ÷ 4}{100 ÷ 4} \;=\; \frac{8}{25} $$

Therefore,

$$ X \;=\; \frac{8}{25} $$

In conclusion,

$$ 0.32 \;=\; \frac{8}{25} $$

Therefore the solution for 0.32 is 8/25.

What decimal fraction is equal to 2.5 x 10/3?

To find the fraction 2.5 × 10/3 for decimal, convert the decimal number into an Improper Fraction. Then multiply the Fractions.

$$ 2.5 × \frac{10}{3} \;=\; \frac{25}{10} \times \frac{10}{3} $$

$$ \frac{25 \times 10}{10 \times 3} \;=\; \frac{250}{30} $$

Simplify the given fraction after multiplication. Now find the greatest common divisor that divide both the terms.

$$ =\; \frac{250 ÷ 10}{30 ÷ 10} \;=\; \frac{25}{3} $$

$$ =\; 25 ÷ 3 \;=\; 8.3333… $$

Therefore, 25/3 is approximately equal to 8.3333 (with the 3 repeating).

What decimal and fraction in hundredths is equivalent to 4/10?

To convert the fraction 4/10 into a decimal equivalent to a hundredths place value, follow these steps:

  • To convert 4/10 to a decimal, simply divide the numerator by the denominator,

$$ \frac{2}{5} \;=\; 2 ÷ 5 $$

$$ \require{enclose} \begin{array}{r} 0.40 \\[-3pt] 5 \enclose{longdiv}{2.00} \\[-3pt] \underline{-0}\phantom{2} \\[-3pt] 20 \\[-3pt] \underline{- 20} \phantom{2} \\[-3pt] 00 \\[-3pt] \underline{- 0} \phantom{2} \\[-3pt] 0 \\[-3pt] \end{array} $$

Therefore the solution for 4/10 is 0.40.

Is This Tool Helpful