3 Fraction Calculator Mixed Numbers

Formula for Three Fractions Including Mixed Numbers:

\[ \frac{a}{b} \times \frac{c}{d} \times \left(e \frac{f}{g}\right) = \frac{a \times c \times (e \times g + f)}{b \times d \times g} \]

First Fraction Numerator (a):

First Fraction Denominator (b):

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Mixed Number Whole Part (e):

Mixed Number Numerator (f):

Mixed Number Denominator (g):

Result:

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1. What is the 3 Fraction Calculator?

This calculator computes the product of two simple fractions and one mixed number. It handles the conversion of mixed numbers to improper fractions automatically and provides the result in both fractional and decimal form.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ \frac{a}{b} \times \frac{c}{d} \times \left(e \frac{f}{g}\right) = \frac{a \times c \times (e \times g + f)}{b \times d \times g} \]

Where:

\( \frac{a}{b} \) — First fraction
\( \frac{c}{d} \) — Second fraction
\( e \frac{f}{g} \) — Mixed number (whole number plus fraction)

Explanation: The calculator first converts the mixed number to an improper fraction, then multiplies all numerators together and all denominators together, and finally simplifies the resulting fraction.

3. Importance of Fraction Calculation

Details: Understanding fraction multiplication is fundamental in mathematics, especially in algebra, physics, and engineering applications where ratios and proportions are common.

4. Using the Calculator

Tips: Enter all required values. Denominators cannot be zero. The calculator will automatically simplify the result and provide a decimal approximation.

5. Frequently Asked Questions (FAQ)

Q1: Can I enter negative numbers?
A: Yes, the calculator handles negative numbers in numerators, denominators, and whole numbers.

Q2: What if my denominator is zero?
A: The calculator will not accept zero denominators as they are mathematically undefined.

Q3: How is the simplification performed?
A: The calculator uses the greatest common divisor (GCD) to reduce fractions to their simplest form.

Q4: Can I use this for division?
A: No, this specifically calculates the product of fractions. For division, you would need to multiply by the reciprocal.

Q5: Why show both fractional and decimal results?
A: Fractional form is exact while decimal form is often more intuitive for quick understanding.