Calculate Fractions Calculator

Fraction Operations:

\[ \frac{a}{b} \text{ [operation] } \frac{c}{d} = \text{result} \]

Numerator 1 (a):

Denominator 1 (b):

Operation:

Numerator 2 (c):

Denominator 2 (d):

Result:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is a Fraction Calculator?

This calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It provides results in both unsimplified and simplified forms.

2. How Does the Calculator Work?

The calculator performs the following operations:

Addition: \(\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\)
Subtraction: \(\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}\)
Multiplication: \(\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}\)
Division: \(\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}\)

The calculator then simplifies the result by dividing both numerator and denominator by their greatest common divisor (GCD).

3. Importance of Fraction Operations

Details: Understanding fraction operations is fundamental in mathematics and essential for many real-world applications including cooking, construction, and scientific measurements.

4. Using the Calculator

Tips: Enter numerators and denominators as integers (denominators must be positive). The calculator will show the operation steps and simplified result.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a zero denominator?
A: The calculator requires denominators to be positive integers. It will not accept zero.

Q2: How is the fraction simplified?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator and divides both by this value.

Q3: Can I enter negative fractions?
A: Yes, you can enter negative numerators. The negative sign should be on the numerator.

Q4: What if the result is a whole number?
A: The calculator will show both the fractional form (e.g., 4/1) and the simplified whole number (e.g., 4).

Q5: Does the calculator show intermediate steps?
A: Yes, it shows the unsimplified result before simplification.