1. What Is This Calculator For?

This calculator performs combined operations on mixed numbers, specifically subtraction followed by multiplication. It calculates the result of (a b/c) - (d e/f) × (g h/i) where all values are mixed numbers.

2. How The Calculation Works

The calculator follows these steps:

Example: (2 1/2) - (1 1/4) × (3 1/3) would be calculated as:

• Convert to improper fractions: 5/2 - (5/4 × 10/3)
• Multiply: 5/4 × 10/3 = 50/12
• Subtract: 5/2 - 50/12 = 30/12 - 50/12 = -20/12
• Simplify: -1 8/12 = -1 2/3

3. Understanding Mixed Numbers

Mixed numbers combine whole numbers and proper fractions (like 3 1/2). They're useful for representing quantities greater than one in a readable format.

4. Using The Calculator

Tips: Enter each part of the mixed numbers (whole, numerator, denominator). Denominators must be positive integers. The calculator will handle negative results appropriately.

5. Frequently Asked Questions (FAQ)

Q1: Why does multiplication come before subtraction?
A: This follows the standard order of operations (PEMDAS/BODMAS rules) where multiplication is performed before subtraction.

Q2: Can I enter negative numbers?
A: The calculator accepts negative numbers in the whole number part, which will affect the entire mixed number.

Q3: What if my denominator is zero?
A: Denominators cannot be zero (division by zero is undefined). The calculator requires denominators ≥ 1.

Q4: How are fractions simplified?
A: Results are simplified by dividing numerator and denominator by their greatest common divisor (GCD).

Q5: Can I use this for simple fractions?
A: Yes, just enter 0 for the whole number part (e.g., 0 3/4 for 3/4).