Mixed Number Calculator With 3 Fractions

Mixed Number Formula:

\[ (a \frac{b}{c}) \times (d \frac{e}{f}) \times \frac{g}{h} = \text{convert and multiply} \]

First Whole Number (a):

First Numerator (b):

First Denominator (c):

Second Whole Number (d):

Second Numerator (e):

Second Denominator (f):

Third Numerator (g):

Third Denominator (h):

Result (Fraction):

Result (Decimal):

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1. What is Mixed Number Multiplication?

Mixed number multiplication involves multiplying numbers that have both whole and fractional parts. This calculator handles multiplication of two mixed numbers and one simple fraction.

2. How Does the Calculator Work?

The calculator uses the following steps:

\[ (a \frac{b}{c}) \times (d \frac{e}{f}) \times \frac{g}{h} \]

Where:

Convert mixed numbers to improper fractions
Multiply all numerators together
Multiply all denominators together
Simplify the resulting fraction
Convert back to mixed number if possible

3. Importance of Mixed Number Calculations

Details: Mixed number operations are fundamental in many real-world applications including cooking, construction, and various measurements.

4. Using the Calculator

Tips: Enter whole numbers, numerators and denominators for each part. Denominators must be positive integers. The calculator will show both fractional and decimal results.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: The calculator won't accept zero denominators as division by zero is undefined.

Q2: How are the fractions simplified?
A: The calculator finds the greatest common divisor (GCD) to reduce the fraction to simplest form.

Q3: Can I enter negative numbers?
A: This calculator is designed for positive numbers only.

Q4: What if the result is a whole number?
A: The calculator will display just the whole number without fractional part.

Q5: How precise is the decimal result?
A: The decimal is rounded to 4 decimal places for readability.