Multiplying fractions calculator

Multiplying fractions involves multiplying the numerators (top numbers) and denominators (bottom numbers) of two or more fractions. The result is a new fraction that represents the product.

Formula:

\[
\frac{a}{b} \times \frac{c}{d} = \frac{a \cdot c}{b \cdot d}
\]

Example:

\[
\frac{2}{3} \times \frac{4}{5} = \frac{2 \cdot 4}{3 \cdot 5} = \frac{8}{15}
\]

Why Use a Multiplying Fractions Calculator?

While multiplying fractions is straightforward, performing the operation by hand can be tedious, especially when dealing with large numbers or mixed fractions. A multiplying fractions calculator simplifies this process.

Key benefits:

• Speed: Instantly compute the product of fractions.
• Accuracy: Eliminate calculation errors.
• Convenience: Save time when solving multiple problems.

How to Use the Multiplying Fractions Calculator?

1. Enter the first fraction: Input the numerator and denominator of the first fraction.
2. Enter the second fraction: Input the numerator and denominator of the second fraction.
3. Press Calculate: The tool will compute the result.
4. Read the simplified output: The calculator provides the answer in its simplest form.

Example Calculations

• Input: \( \frac{3}{4} \) and \( \frac{5}{6} \)
  Output:
  \[
  \frac{3 \cdot 5}{4 \cdot 6} = \frac{15}{24} = \frac{5}{8}
  \]
• Input: \( \frac{7}{8} \) and \( \frac{2}{3} \)
  Output:
  \[
  \frac{7 \cdot 2}{8 \cdot 3} = \frac{14}{24} = \frac{7}{12}
  \]

Multiplying Mixed Fractions

If the fractions are mixed (e.g., \( 1 \frac{1}{2} \)), convert them to improper fractions before multiplying.

Steps:

1. Convert mixed fractions:
   \[
   1 \frac{1}{2} = \frac{3}{2}
   \]
2. Multiply as usual:
   \[
   \frac{3}{2} \times \frac{4}{5} = \frac{12}{10} = \frac{6}{5}
   \]