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MathVibe

Fraction & Decimal Converters

Fraction & Decimal Converter

Turn a fraction into a decimal, a percent, and equivalent fractions. The steps stay visible so the result can be checked.

Try 5/6, 3/4, or 7/8. Results update as you type.

Decimal

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Percent

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Equivalent fractions

Equivalent fractions appear here after you enter a fraction.

Step-by-step

The division, percent, and simplification steps appear here.

How the conversion works

A fraction a/b is the division a ÷ b. That quotient is the decimal. Multiplying the decimal by 100, which is the same as (a × 100) ÷ b, gives the percent. Equivalent fractions keep the same value when the numerator and denominator are multiplied by the same whole number.

5/6 = 0.8(3) = 83.(3)%

  1. Read the fraction. 5/6 means 5 divided by 6. The numerator is 5 and the denominator is 6.
  2. Divide to find the decimal. Decimal = numerator ÷ denominator = 5 ÷ 6 = 0.8(3).
  3. Multiply by 100 to find the percent. Percent = (5 × 100) ÷ 6 = 500 ÷ 6 = 83.(3)%.
  4. Simplify the fraction. The greatest common divisor of 5 and 6 is 1, so 5/6 is already in simplest form.
  5. Build equivalent fractions. Multiply the simplest form by 2, 3, 4, and 5. 5/6 = 10/12 = 15/18 = 20/24 = 25/30.

3/4 = 0.75 = 75%

  1. Read the fraction. 3/4 means 3 divided by 4. The numerator is 3 and the denominator is 4.
  2. Divide to find the decimal. Decimal = numerator ÷ denominator = 3 ÷ 4 = 0.75.
  3. Multiply by 100 to find the percent. Percent = (3 × 100) ÷ 4 = 300 ÷ 4 = 75%.
  4. Simplify the fraction. The greatest common divisor of 3 and 4 is 1, so 3/4 is already in simplest form.
  5. Build equivalent fractions. Multiply the simplest form by 2, 3, 4, and 5. 3/4 = 6/8 = 9/12 = 12/16 = 15/20.

7/8 = 0.875 = 87.5%

  1. Read the fraction. 7/8 means 7 divided by 8. The numerator is 7 and the denominator is 8.
  2. Divide to find the decimal. Decimal = numerator ÷ denominator = 7 ÷ 8 = 0.875.
  3. Multiply by 100 to find the percent. Percent = (7 × 100) ÷ 8 = 700 ÷ 8 = 87.5%.
  4. Simplify the fraction. The greatest common divisor of 7 and 8 is 1, so 7/8 is already in simplest form.
  5. Build equivalent fractions. Multiply the simplest form by 2, 3, 4, and 5. 7/8 = 14/16 = 21/24 = 28/32 = 35/40.

How to use & FAQ

How to Use MathVibe

Pick a tool, enter the expression, and read a solution that shows its work.

  1. 01

    Select a tool

    Search the homepage or open a converter. The Fraction & Decimal Converter and each conversion page start from the same place.

  2. 02

    Enter an expression

    Type a fraction such as 5/6, 3/4, or 7/8. The page reads the numerator and denominator as you type.

  3. 03

    Get an instant solution

    Decimal, percent, equivalent fractions, and the worked steps appear immediately. Copy the result when you need it elsewhere.

Why Choose MathVibe

  • Speed

    Results update with the input. There is no extra submit step and no waiting on a server round trip for the calculation.

  • Step-by-step breakdown

    Every answer shows the operations behind it, from the division to the percent and the simplified fraction.

  • Mobile responsiveness

    Cards stack on a phone, tap targets stay comfortable, and the same solution is readable on a small screen.

Frequently Asked Questions

Accuracy, everyday use, and how the step-by-step solvers are built.

Fraction conversions use exact integer division. A repeating decimal is written with the repeating digits in parentheses, so 5/6 is 0.8(3) and 83.(3)%, rather than a rounded approximation.

Choose a tool from the homepage, or open a conversion address such as /convert/3-4-as-a-decimal. Enter a fraction. The decimal, percent, and steps update on the page.

The solver reads the numerator and denominator, divides to find the decimal, multiplies by 100 for the percent, simplifies by the greatest common divisor, and lists equivalent fractions. Each of those moves is written out beside the answer.

Yes. The layout reflows for narrow screens, and the calculations run in the browser. You can search, convert, and read the steps without installing an app.

No. The tools are open in the browser. There is no sign-in, and a finished conversion page can be shared by its address.