Fraction to Decimal Calculator

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fraction to decimal calculator
Simple Fraction (e.g., 3/4)Mixed Number (e.g., 1 3/4)
2 Decimal Places3 Decimal Places4 Decimal Places6 Decimal Places10 Decimal Places
Answer:
Decimal Value =
function toggleInputs(){var mode=document.getElementById('given_data').value;var wholeRow=document.getElementById('wholeRow');if(mode==='simple'){wholeRow.style.display='none';document.getElementById('inputW').value=";}else{wholeRow.style.display='table-row';}}function calculateResult(){var mode=document.getElementById('given_data').value;var whole=parseFloat(document.getElementById('inputW').value)||0;var num=parseFloat(document.getElementById('inputN').value);var den=parseFloat(document.getElementById('inputD').value);var round=parseInt(document.getElementById('inputR').value);var showSteps=document.getElementById('steps').checked;if(isNaN(num)||isNaN(den)){alert('Please enter both numerator and denominator');return;}if(den===0){alert('Denominator cannot be zero');return;}var fractionDecimal=num/den;var finalDecimal=whole+fractionDecimal;document.getElementById('resultValue').innerHTML=finalDecimal.toFixed(round);var stepsDiv=document.getElementById('stepDetails');stepsDiv.innerHTML=";if(showSteps){var stepStr='Steps:
';if(mode==='mixed'&&whole!==0){stepStr+='1. Keep the whole number: '+whole+'
';stepStr+='2. Divide numerator by denominator: '+num+' ÷ '+den+' = '+fractionDecimal.toFixed(6)+'
';stepStr+='3. Add whole number to decimal: '+whole+' + '+fractionDecimal.toFixed(6)+' = '+finalDecimal.toFixed(round);}else{stepStr+='1. Divide numerator by denominator: '+num+' ÷ '+den+' = '+finalDecimal.toFixed(round);}stepsDiv.innerHTML=stepStr;}document.getElementById('answer').style.display='block';}

Using the Fraction to Decimal Calculator

Our fraction to decimal calculator is a precise tool designed to help you quickly convert any simple fraction or mixed number into its decimal equivalent. Whether you are a student working on math homework, a chef adjusting a recipe, or a carpenter measuring materials, this tool provides instant results with optional step-by-step breakdowns.

Calculation Type
Choose between "Simple Fraction" (for values like 1/2) or "Mixed Number" (for values like 2 3/4).
Whole Number
Used only for mixed numbers; represents the integer portion of the value.
Numerator
The top number of the fraction, representing the parts you have.
Denominator
The bottom number, representing the total number of parts in the whole.

How to Convert Fractions to Decimals

The conversion from a fraction to a decimal is based on the principle that the fraction bar represents division. To convert manually, you simply divide the numerator by the denominator. The formula used by our fraction to decimal calculator is:

Decimal Value = Whole Number + (Numerator / Denominator)

  • Step 1: Identify the components. If it is a mixed number, set the whole number aside.
  • Step 2: Perform the division. Divide the top number (numerator) by the bottom number (denominator).
  • Step 3: Combine. Add the result of the division to the whole number identified in step 1.
  • Step 4: Round. Round to the desired number of decimal places (commonly 2 or 4).

Calculation Examples

Example 1: Converting a Simple Fraction (5/8)

  1. Numerator = 5
  2. Denominator = 8
  3. Calculate: 5 ÷ 8 = 0.625
  4. Result: 0.625

Example 2: Converting a Mixed Number (2 3/4)

  1. Whole Number = 2
  2. Numerator = 3, Denominator = 4
  3. Fraction Part: 3 ÷ 4 = 0.75
  4. Add Whole: 2 + 0.75 = 2.75
  5. Result: 2.75

Common Questions

What is a repeating decimal?

A repeating decimal is a decimal that has a digit or group of digits that repeat infinitely. For example, 1/3 becomes 0.3333… When using a fraction to decimal calculator, these are usually rounded to a specific number of places for practical use.

How do I convert a decimal back to a fraction?

To go backwards, place the decimal value over its place value (e.g., 0.75 becomes 75/100) and then simplify the fraction by finding the greatest common divisor (GCD).

Is 1/0 a valid fraction?

No. In mathematics, division by zero is undefined. Our calculator will provide an alert if you attempt to enter 0 as a denominator.

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