Mixed Fraction Calculator

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Mixed Fraction Calculator

Fraction 1

+ − × ÷

Fraction 2

function gcd(a, b) { a = Math.abs(a); b = Math.abs(b); while (b) { var t = b; b = a % b; a = t; } return a; } function calculateMixedFraction() { var w1 = parseInt(document.getElementById('w1').value) || 0; var n1 = parseInt(document.getElementById('n1').value) || 0; var d1 = parseInt(document.getElementById('d1').value) || 1; var w2 = parseInt(document.getElementById('w2').value) || 0; var n2 = parseInt(document.getElementById('n2').value) || 0; var d2 = parseInt(document.getElementById('d2').value) || 1; var operation = document.getElementById('op').value; if (d1 === 0 || d2 === 0) { alert("Denominator cannot be zero."); return; } // Convert to improper fractions // Sign management: if whole is negative, the numerator is added as a negative value var num1 = (Math.abs(w1) * d1 + n1) * (w1 < 0 ? -1 : 1); var den1 = d1; var num2 = (Math.abs(w2) * d2 + n2) * (w2 < 0 ? -1 : 1); var den2 = d2; var finalNum, finalDen; if (operation === "add") { finalNum = (num1 * den2) + (num2 * den1); finalDen = den1 * den2; } else if (operation === "sub") { finalNum = (num1 * den2) – (num2 * den1); finalDen = den1 * den2; } else if (operation === "mul") { finalNum = num1 * num2; finalDen = den1 * den2; } else if (operation === "div") { if (num2 === 0) { alert("Cannot divide by zero."); return; } finalNum = num1 * den2; finalDen = den1 * num2; } // Simplify var common = gcd(finalNum, finalDen); finalNum = finalNum / common; finalDen = finalDen / common; // Ensure denominator is positive if (finalDen = finalDen) { resultWhole = (finalNum > 0) ? Math.floor(finalNum / finalDen) : Math.ceil(finalNum / finalDen); resultNum = Math.abs(finalNum % finalDen); } var resultText = ""; if (resultWhole !== 0) { resultText += resultWhole + " "; } if (resultNum !== 0) { resultText += resultNum + "/" + resultDen; } if (resultWhole === 0 && resultNum === 0) { resultText = "0"; } document.getElementById('mixedResultContainer').style.display = 'block'; document.getElementById('mixedResultValue').innerHTML = "Result: " + resultText; document.getElementById('improperResultValue').innerHTML = "Improper Fraction: " + finalNum + "/" + finalDen; }

How to Use the Mixed Fraction Calculator

A mixed fraction calculator is an essential tool for performing arithmetic operations on numbers that consist of both a whole number and a fractional part. Whether you are adding lengths for a carpentry project or halving a recipe in the kitchen, this tool ensures precision.

Steps for Manual Calculation:

  • Step 1: Convert to Improper Fractions. Multiply the whole number by the denominator and add the numerator. For example, 2 1/2 becomes 5/2.
  • Step 2: Find a Common Denominator. If adding or subtracting, ensure both fractions have the same bottom number.
  • Step 3: Perform the Operation. Add, subtract, multiply, or divide the numerators as required.
  • Step 4: Simplify and Convert Back. Reduce the fraction to its lowest terms and convert it back into a mixed fraction if the numerator is larger than the denominator.

Example Calculation:

Suppose you want to add 1 3/4 and 2 1/2:

  1. Convert to improper: 1 3/4 = 7/4 and 2 1/2 = 5/2.
  2. Common denominator: 5/2 becomes 10/4.
  3. Add: 7/4 + 10/4 = 17/4.
  4. Convert back: 17 divided by 4 is 4 with a remainder of 1. Result: 4 1/4.

Why Use This Tool?

This calculator handles negative mixed fractions, simplifies results automatically using the Greatest Common Divisor (GCD), and provides both the mixed number format and the improper fraction format for your homework or professional documentation.

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