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:
   $$\frac{3}{2}\times \frac{4}{5}=\frac{12}{10}=\frac{6}{5}$$