Mixed Fraction Calculator

A mixed fraction is a number made up of a whole number and a proper fraction. Many people find it difficult to add, subtract, multiply, or divide mixed fractions by hand because it requires several steps and careful conversions. However, our free mixed fraction calculator allows you to add, subtract, multiply, and divide mixed fractions with a click of a button. It also provides a clear step-by-step solution to help you understand the working.

What Our Calculator Can Do

Working with mixed fractions doesn’t have to be confusing or time-consuming. Our Mixed Fraction Calculator is built to make solving fraction problems fast, accurate, and easy to understand. Whether you’re a student, teacher, or just need quick help with everyday mixed fraction computation, this tool has you covered.

Here are some of the key features of this calculator:

• Perform basic operations – It allows you to Add, subtract, multiply, or divide two mixed fractions in seconds.
• Multiple answer formats – This calculator help you view results as a mixed fraction, improper fraction, or decimal, depending on your need.
• Step-by-step solutions – Learn how each calculation is solved with clear and step-by-step solution.
• User-friendly design – Simple input boxes for whole numbers, numerators, and denominators make the calculator easy to use.
• Instant results – It allows you to get accurate answers with just one click, without manual conversions.

With these features, you can save time, reduce errors, and build confidence in solving fraction problems.

Key Features of the Calculator

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 where you can attach the calculator’s 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