Scientific Calculator with Fractions

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.calculator-container { width: 320px; margin: 20px auto; border: 1px solid #ccc; border-radius: 5px; box-shadow: 0 0 10px rgba(0,0,0,0.1); font-family: 'Arial', sans-serif; background-color: #f9f9f9; padding: 10px; } .calculator-display input { width: calc(100% – 20px); height: 50px; font-size: 2em; text-align: right; padding: 0 10px; margin-bottom: 10px; border: 1px solid #ddd; border-radius: 3px; background-color: #eef; box-sizing: border-box; } .calculator-buttons, .calculator-scientific-buttons { display: grid; grid-template-columns: repeat(4, 1fr); gap: 8px; } .calculator-scientific-buttons { margin-top: 8px; } .calculator-buttons button, .calculator-scientific-buttons button { width: 100%; height: 50px; font-size: 1.2em; border: none; border-radius: 3px; cursor: pointer; background-color: #e0e0e0; transition: background-color 0.2s; } .calculator-buttons button:hover, .calculator-scientific-buttons button:hover { background-color: #d0d0d0; } .calculator-buttons button:active, .calculator-scientific-buttons button:active { background-color: #c0c0c0; } .calculator-buttons button:nth-child(4n), .calculator-buttons button:nth-child(16), .calculator-scientific-buttons button { background-color: #f0a000; color: white; } .calculator-buttons button:nth-child(4n):hover, .calculator-buttons button:nth-child(16):hover, .calculator-scientific-buttons button:hover { background-color: #e09000; } .calculator-buttons button:nth-child(1):hover, .calculator-buttons button:nth-child(2):hover { background-color: #ff8080; } .calculator-buttons button:nth-child(1), .calculator-buttons button:nth-child(2) { background-color: #ff9090; } var display = document.getElementById('display'); var currentInput = '0'; var firstOperand = null; var operator = null; var waitingForSecondOperand = false; var resultDisplayed = false; function updateDisplay() { display.value = currentInput; } function clearAll() { currentInput = '0'; firstOperand = null; operator = null; waitingForSecondOperand = false; resultDisplayed = false; updateDisplay(); } function clearEntry() { if (resultDisplayed) { clearAll(); } else { currentInput = '0'; updateDisplay(); } } function inputDigit(digit) { if (resultDisplayed) { currentInput = digit; resultDisplayed = false; } else if (waitingForSecondOperand) { currentInput = digit; waitingForSecondOperand = false; } else { currentInput = currentInput === '0' ? digit : currentInput + digit; } updateDisplay(); } function inputDecimal() { if (resultDisplayed) { currentInput = '0.'; resultDisplayed = false; } else if (waitingForSecondOperand) { currentInput = '0.'; waitingForSecondOperand = false; } else if (!currentInput.includes('.')) { currentInput += '.'; } updateDisplay(); } function inputFractionSeparator() { if (resultDisplayed) { currentInput = '0/'; resultDisplayed = false; } else if (waitingForSecondOperand) { currentInput = '0/'; waitingForSecondOperand = false; } else if (!currentInput.includes('/')) { if (currentInput === " || currentInput.endsWith('.')) { currentInput += '0/'; } else { currentInput += '/'; } } updateDisplay(); } function gcd(a, b) { a = Math.abs(a); b = Math.abs(b); while (b) { var temp = b; b = a % b; a = temp; } return a; } function parseInputToFraction(inputStr) { inputStr = String(inputStr).trim(); if (inputStr === ") return { n: 0, d: 1 }; var numerator, denominator; if (inputStr.includes('/')) { var parts = inputStr.split('/'); if (parts.length !== 2) return null; numerator = parseFloat(parts[0]); denominator = parseFloat(parts[1]); if (isNaN(numerator) || isNaN(denominator) || denominator === 0) return null; return simplifyFraction({ n: numerator, d: denominator }); } else if (inputStr.includes('.')) { var decimalParts = inputStr.split('.'); var integerPart = parseInt(decimalParts[0] || '0'); var fractionalPart = decimalParts[1] || "; var powerOfTen = Math.pow(10, fractionalPart.length); numerator = integerPart * powerOfTen + parseInt(fractionalPart || '0'); denominator = powerOfTen; if (inputStr.startsWith('-')) { numerator = -Math.abs(numerator); } return simplifyFraction({ n: numerator, d: denominator }); } else { numerator = parseInt(inputStr); if (isNaN(numerator)) return null; return { n: numerator, d: 1 }; } } function simplifyFraction(fraction) { if (fraction.d === 0) { return { n: fraction.n > 0 ? Infinity : fraction.n < 0 ? -Infinity : NaN, d: 0 }; } if (fraction.n === 0) { return { n: 0, d: 1 }; } var common = gcd(fraction.n, fraction.d); var n = fraction.n / common; var d = fraction.d / common; if (d 0 ? "Infinity" : fraction.n 0 ? Infinity : f1.n 0 ? Infinity : currentFraction.n < 0 ? -Infinity : NaN; } else { resultDecimal = currentFraction.n / currentFraction.d; } currentInput = String(resultDecimal); updateDisplay(); resultDisplayed = true; return; case 'toFraction': var decimalValue = parseFloat(currentInput); if (isNaN(decimalValue)) { currentInput = "Error"; updateDisplay(); return; } resultFraction = decimalToFraction(decimalValue); break; case 'negate': resultFraction = { n: -currentFraction.n, d: currentFraction.d }; break; default: currentInput = "Error"; updateDisplay(); return; } if (resultFraction.d === 0 && resultFraction.n !== 0) { currentInput = formatFractionForDisplay(resultFraction); updateDisplay(); firstOperand = null; operator = null; waitingForSecondOperand = false; resultDisplayed = true; return; } currentInput = formatFractionForDisplay(resultFraction); updateDisplay(); firstOperand = resultFraction; resultDisplayed = true; } function decimalToFraction(decimal) { if (isNaN(decimal)) return { n: 0, d: 1 }; var tolerance = 1.0E-6; var sign = decimal decimal * tolerance && k1 < 1000000); return simplifyFraction({ n: sign * h1, d: k1 }); } updateDisplay();

Scientific Calculator with Fractions

Welcome to the Scientific Calculator with Fractions, a specialized tool designed for precise mathematical computations involving rational numbers. Unlike standard calculators that often convert fractions to decimals, this calculator maintains fractional form throughout its operations, providing exact answers for your calculations.

Why Use a Fraction Calculator?

  • Precision: Avoids rounding errors inherent in decimal approximations, ensuring exact results for all rational number operations.
  • Clarity: Presents answers in a familiar fractional format, which can be easier to interpret in many mathematical and scientific contexts.
  • Educational Tool: Helps students and professionals understand fraction arithmetic, simplification, and the relationship between fractions and decimals.
  • Specific Applications: Ideal for fields like engineering, physics, carpentry, cooking, and finance where exact fractional measurements or ratios are critical.

How to Use the Calculator

This calculator supports basic arithmetic operations (+, -, *, /) and several scientific functions, all while handling fractions seamlessly. Here's a quick guide:

  1. Entering Numbers and Fractions:
    • Integers: Simply type the digits (e.g., 5).
    • Decimals: Use the decimal point button (.) (e.g., 2.5). The calculator will convert decimals to fractions internally for calculations.
    • Fractions: Enter the numerator, then press the fraction separator button (/), then enter the denominator (e.g., 3/4).
  2. Performing Operations:
    • Enter your first number/fraction.
    • Press an operator button (+, -, *, /).
    • Enter your second number/fraction.
    • Press the equals button (=) to see the result.

    You can chain operations. After an operation, the result becomes the first operand for the next operation.

  3. Scientific Functions:
    • x² (Square): Calculates the square of the current number/fraction. For example, (1/2)² = 1/4.
    • 1/x (Reciprocal): Calculates the reciprocal of the current number/fraction. For example, 1/(3/4) = 4/3.
    • Dec (Convert to Decimal): Converts the current fraction to its decimal equivalent.
    • Frac (Convert to Fraction): Attempts to convert a decimal number (if currently displayed) into its closest fractional representation. Note that this is an approximation for non-terminating decimals.
    • +/- (Negate): Changes the sign of the current number/fraction.
  4. Clear Buttons:
    • C (Clear Entry): Clears the current input or the last result, allowing you to enter a new number without clearing the entire calculation.
    • AC (All Clear): Clears all operations and resets the calculator to its initial state.

Examples of Use

Let's look at some practical examples:

Example 1: Adding Fractions

You need to add 1/3 and 1/2.

  1. Type 1, then /, then 3.
  2. Press +.
  3. Type 1, then /, then 2.
  4. Press =.
  5. Result: 5/6

Example 2: Multiplying a Fraction by an Integer

Calculate 3/4 multiplied by 5.

  1. Type 3, then /, then 4.
  2. Press *.
  3. Type 5.
  4. Press =.
  5. Result: 15/4

Example 3: Using the Square Function

Find the square of 2/3.

  1. Type 2, then /, then 3.
  2. Press x².
  3. Result: 4/9

Example 4: Converting Decimal to Fraction

Convert 0.75 to a fraction.

  1. Type 0.75.
  2. Press Frac.
  3. Result: 3/4

Example 5: Complex Calculation

Calculate (1/2 + 1/4) * 2/3.

  1. Type 1, then /, then 2.
  2. Press +.
  3. Type 1, then /, then 4.
  4. Press =. (Display shows 3/4)
  5. Press *.
  6. Type 2, then /, then 3.
  7. Press =.
  8. Result: 1/2

This scientific calculator with fractions is an invaluable tool for anyone needing to work with precise fractional values, ensuring accuracy and clarity in all your mathematical endeavors.

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