Multiply Fraction By Fraction Calculator With Variables

Fraction Multiplication Formula:

\[ \frac{x}{y} \times \frac{z}{w} = \frac{x \times z}{y \times w} \]

Numerator 1 (x):

unitless

Denominator 1 (y):

unitless

Numerator 2 (z):

unitless

Denominator 2 (w):

unitless

Result:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Fraction Multiplication?

Fraction multiplication involves multiplying the numerators together and the denominators together. The product of two fractions is a new fraction where the numerator is the product of the original numerators and the denominator is the product of the original denominators.

2. How Does the Calculator Work?

The calculator uses the fraction multiplication formula:

\[ \frac{x}{y} \times \frac{z}{w} = \frac{x \times z}{y \times w} \]

Where:

\( x \) — First numerator
\( y \) — First denominator
\( z \) — Second numerator
\( w \) — Second denominator

Explanation: The calculator multiplies the numerators (x and z) to get the new numerator, and multiplies the denominators (y and w) to get the new denominator.

3. Importance of Fraction Multiplication

Details: Fraction multiplication is fundamental in algebra, physics, chemistry, and engineering calculations. It's essential for solving equations involving ratios, proportions, and scaling factors.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators cannot be zero. The calculator will show the resulting fraction in its simplest form and the decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: Can I use negative numbers?
A: Yes, the calculator works with negative numbers. The standard rules of signs apply (negative × negative = positive, etc.).

Q2: What if I get a zero denominator?
A: Division by zero is undefined. The calculator will not produce a result if either denominator is zero.

Q3: Does the calculator simplify fractions?
A: The calculator shows the raw multiplied fraction. For simplified form, you may need to reduce it further by dividing numerator and denominator by their greatest common divisor.

Q4: Can I use this for algebraic expressions?
A: This calculator is for numerical values only. For algebraic expressions, you would follow the same multiplication rules but keep the variables in the result.

Q5: How precise are the results?
A: Results are calculated to 4 decimal places. For exact fractions, consider the unsimplified form shown.