Multiply two fractions and get the simplified result instantly. This calculator handles both proper and improper fractions.
The Multiplying Fractions Calculator is a free, easy-to-use tool that helps you multiply any two or more fractions and mixed numbers in seconds. Whether you're a student working through math homework, a teacher preparing lesson plans, or a professional looking for quick answers, this calculator makes multiplying fractions simple and accurate. It also shows step-by-step solutions so you can learn while you calculate.
A fraction represents a part of a whole and is written as a numerator (top number) over a denominator (bottom number). For example, 1/2 means one part out of two equal parts.
When multiplying fractions, the process is straightforward:
Formula: (a/b) × (c/d) = (a×c) / (b×d)
Example: (2/3) × (4/5) = (2×4)/(3×5) = 8/15
To multiply a whole number by a fraction, convert the whole number to a fraction first:
Example: 3 × (2/5) = (3/1) × (2/5) = 6/5 = 1 1/5
Mixed numbers contain a whole number and a fraction. To multiply them:
Example: 1 1/2 × 2 2/3 → (3/2) × (8/3) = 24/6 = 4
Problem: Multiply (3/4) × (2/5)
Final Answer: 3/10
Multiplying fractions is used in many real-world scenarios:
Using this calculator avoids these errors and improves accuracy.
Fractions can be converted to decimals by dividing the numerator by the denominator. Our calculator shows the decimal value alongside the simplified fraction.
Example: (2/3) × (3/4) = 6/12 = 0.5
After multiplying, you may need to reduce the answer to its lowest terms. This is done by dividing the numerator and denominator by their Greatest Common Factor (GCF).
Example: 6/8 → divide top and bottom by 2 → 3/4
This calculator is a perfect learning companion:
Use our free Multiplying Fractions Calculator to multiply two or more fractions or mixed numbers. See simplified answers, step-by-step solutions, and decimal equivalents instantly.
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Multiplying more than two fractions follows the same method: multiply all numerators together and all denominators together.
Example: (1/2) × (3/4) × (5/6)
Our calculator supports multiple fractions at once, giving you the final simplified result instantly.
Negative fractions follow the same rules as multiplying signed numbers:
Example: (-2/3) × (4/5) = -8/15
Example: (-1/2) × (-3/4) = 3/8
Our calculator handles negative signs correctly and provides the result with proper sign placement.
Improper fractions (where the numerator is larger than the denominator) are valid and often appear when multiplying mixed numbers. You can keep results in improper form or convert them to mixed numbers.
Example: (5/2) × (3/1) = 15/2 = 7 1/2
Our calculator displays both the improper fraction and its mixed number equivalent, offering you flexibility depending on your needs.
Sometimes it's helpful to visualize fraction multiplication with shapes or area models. Here’s a conceptual way to understand it:
(1/2) × (1/3) means: "Take one-third of one-half."
If you imagine a square, shade half of it, then shade one-third of that half, you’ll get 1/6 of the total area. So, (1/2) × (1/3) = 1/6.
Our calculator not only computes but also helps you understand what these numbers mean.
Fractions appear frequently in algebra, especially with rational expressions and solving equations. Our calculator can assist with expressions like:
(x/3) × (2/5) = (2x/15)
Although it doesn't yet support variables, you can still use it to understand the coefficient operations and check your manual work.
Fraction multiplication is common in real-life math problems:
Problem: A recipe needs 3/4 cup of sugar. If you want to make 2/3 of the recipe, how much sugar do you need?
Solution: (3/4) × (2/3) = 6/12 = 1/2 cup
Our calculator makes it easy to solve these everyday questions quickly and confidently.
Here are some common fraction-to-decimal conversions for reference when multiplying:
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.333... |
| 2/3 | 0.666... |
| 1/4 | 0.25 |
| 3/4 | 0.75 |
| 1/5 | 0.2 |
| 4/5 | 0.8 |
Our calculator provides both fraction and decimal forms, so you can choose whichever format suits your needs.
| Feature | Multiplying Fractions | Adding Fractions |
|---|---|---|
| Process | Multiply tops and bottoms | Find common denominator, then add |
| Example | 1/2 × 1/3 = 1/6 | 1/2 + 1/3 = 5/6 |
| Requires LCD? | No | Yes |
Yes. Our calculator allows you to enter and multiply any number of fractions.
The calculator automatically treats whole numbers as fractions with a denominator of 1.
No, it's designed specifically for fractions. Please use our Decimal to Fraction Converter before multiplying decimals with fractions.
Yes, the calculator supports both positive and negative fractions and applies the correct sign rules automatically.
Multiplying fractions is a foundational math skill that appears in every field—from academics to everyday life. Our Multiplying Fractions Calculator simplifies this process, saves time, and offers a step-by-step learning experience. Whether you're working with proper fractions, mixed numbers, or whole numbers, our tool ensures accurate results and instant simplification. Bookmark it now and multiply with confidence!