Quickly convert proper, improper, and mixed fractions into decimal values.
No Rounding
1 Place
2 Places
3 Places
4 Places
6 Places
The decimal equivalent is:
How to Convert Fractions to Decimals
Converting a fraction to a decimal is a simple process of division. Every fraction consists of a numerator (the top number) and a denominator (the bottom number). The fraction bar itself represents division.
The Basic Formula:
Decimal = Numerator ÷ Denominator
Working with Mixed Numbers
If you have a mixed number (like 2 3/4), follow these steps:
Keep the whole number (2) to the left of the decimal point.
Convert the fractional part (3/4) by dividing 3 by 4 to get 0.75.
Add the two together: 2 + 0.75 = 2.75.
Examples of Common Conversions:
Fraction
Division
Decimal
1/2
1 ÷ 2
0.5
1/4
1 ÷ 4
0.25
3/8
3 ÷ 8
0.375
5/3 (Improper)
5 ÷ 3
1.666…
function calculateFractionToDecimal() {
var wholeNumInput = document.getElementById('wholeNumber').value;
var numeratorInput = document.getElementById('numerator').value;
var denominatorInput = document.getElementById('denominator').value;
var precision = document.getElementById('precision').value;
var resultArea = document.getElementById('resultArea');
var errorArea = document.getElementById('errorArea');
var decimalResult = document.getElementById('decimalResult');
var stepExplanation = document.getElementById('stepExplanation');
// Reset displays
resultArea.style.display = 'none';
errorArea.style.display = 'none';
// Parse inputs
var whole = wholeNumInput === "" ? 0 : parseFloat(wholeNumInput);
var num = parseFloat(numeratorInput);
var den = parseFloat(denominatorInput);
// Validation
if (isNaN(num) || isNaN(den)) {
errorArea.innerHTML = "Error: Please enter a valid numerator and denominator.";
errorArea.style.display = 'block';
return;
}
if (den === 0) {
errorArea.innerHTML = "Error: Denominator cannot be zero (division by zero is undefined).";
errorArea.style.display = 'block';
return;
}
// Calculation logic
var fractionalPart = num / den;
var totalDecimal = whole >= 0 ? (whole + Math.abs(fractionalPart)) : (whole – Math.abs(fractionalPart));
// If whole number is negative, we need to handle the calculation logic carefully
if (whole < 0) {
totalDecimal = whole – (Math.abs(num) / Math.abs(den));
} else if (whole === 0 && (num < 0 || den < 0)) {
totalDecimal = num / den;
} else {
totalDecimal = whole + (num / den);
}
var displayDecimal = totalDecimal;
if (precision !== "none") {
displayDecimal = totalDecimal.toFixed(parseInt(precision));
}
// Display Results
decimalResult.innerHTML = displayDecimal;
var explanationText = "";
if (whole !== 0) {
explanationText = whole + " + (" + num + " ÷ " + den + ") = " + displayDecimal;
} else {
explanationText = num + " ÷ " + den + " = " + displayDecimal;
}
stepExplanation.innerHTML = "Calculation: " + explanationText;
resultArea.style.display = 'block';
}