Fraction to Decimal Calculator (With Steps) — Convert a Fraction Into a Decimal or Percentage

Fraction to Decimal Calculator

Fraction

Decimal

Enter the fraction

Please provide your input and click the calculate button

About the Fraction to Decimal Calculator

This right triangle calculator lets you calculate the length of the hypotenuse or a leg or the area of a right triangle. For each case, you may choose from different combinations of values to input.

Also, the calculator will give you not just the answer, but also a step by step solution. So you can use it as a great tool to learn about right triangles.

Usage Guide

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i. Valid Inputs

Depending on the type of calculator you choose (using the the drop-downs), you'll will need to enter a fraction, a decimal, or a percentage value. Here are the valid inputs for each of those types.

Fractions — When providing an input in the "fraction" field, you may enter a number in one of the following formats.

Integers → $\hspace{0.2em} 2 \hspace{0.2em}$ , $\hspace{0.2em} 0 \hspace{0.2em}$ , $\hspace{0.2em} -4 \hspace{0.2em}$
Fractions → $\hspace{0.2em} 2/3 \hspace{0.2em}$ , $\hspace{0.2em} -1/5 \hspace{0.2em}$
Mixed numbers → $\hspace{0.2em} 5 \hspace{0.4em} 1/4 \hspace{0.2em}$

Percentage — In addition to the inputs accepted for a "fraction", you can also enter a decimal number when providing a "percentage" input. For example, $\hspace{0.2em} 12.75 \hspace{0.2em}$ .

Decimals — If your input is a terminating decimal, enter the whole thing in the first field.

For recurring decimals, enter everything except the recurring part into the first field. And then, enter the recurring digits into the second field.

For example, if you had to enter $\hspace{0.2em} 4.15\overline{72} \hspace{0.2em}$ , you'd enter $\hspace{0.2em} 4.15 \hspace{0.2em}$ in the first input box and $\hspace{0.2em} 72 \hspace{0.2em}$ in the second.

ii. Example

If you would like to see an example of the calculator's working, just click the "example" button.

iii. Solutions

As mentioned earlier, the calculator won't just tell you the answer but also the steps you can follow to do the calculation yourself. The "show/hide solution" button would be available to you after the calculator has processed your input.

iv. Share

We would love to see you share our calculators with your family, friends, or anyone else who might find it useful.

By checking the "include calculation" checkbox, you can share your calculation as well.

Here's a quick overview of how to convert fractions to decimals.

Converting Fractions into Decimals

To convert a fraction into a decimal, we divide the numerator (top number) by the denominator (bottom number). The result is the fraction expressed as a decimal number.

Now, if we are doing the division manually (say, using long division), how far we go with the division would depend on whether the result is a terminating decimal or a recurring decimal number, how many decimal digits we need, etc.

Here's an example.

Example

Convert $\hspace{0.2em} 25/8 \hspace{0.2em}$ into a decimal.

Solution

If we divide $\hspace{0.2em} 25 \hspace{0.2em}$ by $\hspace{0.2em} 8 \hspace{0.2em}$ using a calculator, it would give a result as $\hspace{0.2em} 3.125 \hspace{0.2em}$ .

Now let's try the long division route.

Again, we get the same decimal number. Of course.

So, $\hspace{0.2em} 25/8 \hspace{0.2em}$ expressed as a decimal is $\hspace{0.2em} 3.125 \hspace{0.2em}$ .