Fractions Calculator Decimals

Fraction Operations Formulas:

\[ \frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd} \] \[ \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} \] \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]

Decimal Result:

Fraction Result:

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1. What is a Fractions Calculator with Decimals?

Definition: This calculator performs basic arithmetic operations (addition, subtraction, multiplication, division) on fractions and decimals, providing results in both decimal and fractional form.

Purpose: It helps students, teachers, and professionals perform fraction operations and convert between fraction and decimal representations.

2. How Does the Calculator Work?

The calculator uses standard fraction arithmetic formulas:

\[ \frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd} \] \[ \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} \] \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]

Explanation: The calculator accepts both fractions (a/b) and decimals, converts them to decimal form for calculation, then converts the result back to simplified fraction form.

3. Importance of Fraction Operations

Details: Understanding fraction operations is fundamental in mathematics, engineering, cooking, construction, and many real-world applications where precise measurements are needed.

4. Using the Calculator

Tips:

Enter fractions as a/b (e.g., 3/4) or decimals (e.g., 0.75)
Select the operation (+, -, ×, ÷)
Results are shown in both decimal and simplified fraction form
Mixed numbers are shown when appropriate (e.g., 1 1/2)

5. Frequently Asked Questions (FAQ)

Q1: Can I enter mixed numbers?
A: Currently, enter as improper fractions (5/4) or decimals (1.25). Results may show as mixed numbers.

Q2: How precise are the conversions?
A: Conversions are precise to 8 decimal places, with fractions simplified to lowest terms.

Q3: What if I divide by zero?
A: The calculator will show no result (division by zero is undefined).

Q4: Can I use negative numbers?
A: Yes, negative fractions and decimals are supported.

Q5: How are repeating decimals handled?
A: The calculator finds the closest fraction representation within precision limits.