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Adding Fractions With Whole Numbers

Formula:

\[ \frac{a}{b} + c = \frac{a + c \times b}{b} \]

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1. What is Adding Fractions With Whole Numbers?

This calculator helps you add a fraction and a whole number by converting the whole number to an equivalent fraction and then performing the addition. The result is presented as both an improper fraction and simplified form.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \frac{a}{b} + c = \frac{a + c \times b}{b} \]

Where:

Explanation: The whole number is converted to a fraction with the same denominator as the given fraction, then the numerators are added while keeping the denominator the same.

3. Importance of Fraction Addition

Details: Understanding how to add fractions with whole numbers is fundamental in mathematics and is used in various real-world applications like cooking, construction, and financial calculations.

4. Using the Calculator

Tips: Enter the numerator and denominator of your fraction, and the whole number you want to add. The denominator must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is an improper fraction?
A: The calculator will show the improper fraction, its simplified form, and if applicable, the mixed number equivalent.

Q2: Can I use negative numbers?
A: This calculator is designed for positive numbers only. Negative numbers would require subtraction rules.

Q3: What's the maximum number I can enter?
A: There's no strict limit, but extremely large numbers might cause calculation delays.

Q4: Why does the denominator have to be greater than zero?
A: Division by zero is undefined in mathematics, so denominators must be positive integers.

Q5: How is the fraction simplified?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number.

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