Mixed Fraction Calculator

This Mixed Fraction Calculator makes it easy to add, subtract, multiply, and divide mixed fractions in seconds. Instead of doing complex conversions by hand, simply enter your values, and the calculator will instantly show the result with a clear step-by-step explanation. It is perfect for students, teachers, or anyone who wants to solve mixed fraction problems quickly and accurately.

How to Use the Calculator

Our calculator lets you add, subtract, multiply, or divide two mixed fractions. Here’s how it works:

1. Enter the whole number, numerator, and denominator for the first fraction (labeled W₁, a, b).
2. Choose the operation you want to perform (+ , − , × , ÷) from the dropdown.
3. Enter the whole number, numerator, and denominator for the second fraction (labeled W₂, c, d).
4. Click the “Calculate” button to get the accurate results with step by step explanation.

What is a Mixed Fraction?

A mixed fraction, or mixed number, combines a whole number and a proper fraction to represent a quantity greater than one. For example, in the mixed fraction \( 2 \tfrac{1}{4} \), the “2” is the whole number part, and “\(\tfrac{1}{4}\)” is the fraction part. The whole number shows complete units, while the fraction shows a part of another unit.

This is different from an improper fraction, where the numerator is larger than the denominator and from a decimal, which expresses the same value as 2.252. Thus, converting between mixed fractions, improper fractions, and decimals is useful in learning math, solving problems, and in everyday life tasks like cooking, measuring, or dividing items.

Adding, Subtracting, Multiplying and Dividing Mixed Fractions

Fractions can get tricky fast, especially when you’re adding, subtracting, multiplying, or dividing mixed numbers. The Mixed Numbers Fraction Calculator not only gives you the answer instantly but also provides step-by-step solutions so you can understand each operation. Below are examples showing both the manual calculation and the calculator solution

➕ Adding Mixed Numbers

To add mixed numbers manually:

1. Convert each mixed number into an improper fraction.
2. Find a common denominator.
3. Add the fractions and simplify.

Example 1: $ 1\frac{2}{6} + 2 \frac{1}{4} = \frac{8}{6} + \frac{9}{4} $

$= \frac{8 \times 4 + 9 \times 6}{6 \times 4} = \frac{86}{24} = 3 \frac{7}{12}$

To solve the above problem using the calculator, follow these simple steps:

1. Key in the first mixed fraction
2. Choose the addition operator (+)
3. Key in the second mixed fraction
4. Hit the “Calculate” button and “show steps” for detailed explanation

The results will be as shown below:

Once you click the “show steps” button, you’ll see step-by-step solution as shown below:

➖ Subtracting Mixed Numbers

Manual subtraction requires the same initial step. First, you need to convert mixed numbers to improper fractions and then apply the formula:

$\frac{a}{b} – \frac{c}{d} $

$= \frac{ad – bc}{bd}$

Example 2: $1 \frac{2}{6} – 2 \frac{1}{4}$

$= \frac{8}{6} – \frac{9}{4}$

$ = \frac{8 \times 4 – 9 \times 6}{6 \times 4}$

$ = \frac{-22}{24} = -\frac{11}{12}$

Using the calculator, you simply need to follow these steps:

1. Key in the first mixed fraction
2. Choose the Subtraction operator (-)
3. Key in the second mixed fraction
4. Hit the “Calculate” button and “show Steps” for detailed explanation

The calculator will give you the following outputs:

On clicking the “show steps” button, you’ll see a step-by-step solution of how subtraction was done as shown below:

✖️ Multiplying Mixed Numbers

For multiplication, we need convert mixed fractions to improper fractions and multiply numerators and denominators directly. In simple terms, multiplication of mixed numbers can be done using the following formula:

$\frac{a}{b} \times \frac{c}{d}$

$ = \frac{a \times c}{b \times d}$

Example 3: $1 \frac{2}{6} \times 2 \frac{1}{4}$

$ = \frac{8}{6} \times \frac{9}{4} $

$= \frac{72}{24}$

$=3$

Using the Calculator, you simply need to follow these steps:

1. Key in the first mixed fraction
2. Choose the multiplication operator (x)
3. Key in the second mixed fraction
4. Hit the “Calculate” button and “show Steps” for detailed explanation

The multiplication results will appear as shown below:

Alternatively, you can click the “show steps” button to see the step-by-step solution as shown below:

➗ Dividing Mixed Numbers

Division requires flipping the second fraction (reciprocal) and then multiplying. In other words, you can use the following formula after converting the mixed fractions to improper fractions to divide them:

$\frac{a}{b} \div \frac{c}{d} = \frac{a \times d}{b \times c}$

Example 4: $1 \frac{2}{6} \div 2 \frac{1}{4}$

$ = \frac{8}{6} \div \frac{9}{4}$

$= \frac{8 \times 4}{6 \times 9}$

$ = \frac{32}{54}$

$= \frac{16}{27}$

Now, using our mixed numbers fraction calculator, you only need to follow these 4 steps to divide two mixed fractions:

1. Key in the first mixed fraction
2. Choose the division operator (÷)
3. Key in the second mixed fraction
4. Hit the “Calculate” button and “show Steps” for detailed explanation

After clicking the “calculate” button, you will see a direct answer to the division question as shown below:

On clicking the “show steps” button, you’ll see step-by-step solution of how the mixed fractions were divided, as shown below:

Frequently Asked Questions