# Mixed Fraction Calculator

Mixed Fraction Calculator is an online tool that helps to add, subtract, multiply and divide two mixed fractions. The type of fraction that we get on combining a whole number part and a fractional part is known as a mixed fraction.

## What is a Mixed Fraction Calculator?

Mixed Fraction Calculator computes the result of addition, subtraction, division, and multiplication of two mixed fractions. We can convert a mixed fraction into an improper fraction and then apply the desired arithmetic operation. To use this * mixed fraction calculator*, enter the values in the input boxes.

### Mixed Fraction Calculator

Note: Enter up to 2 digits in each input box.

## How to Use a Mixed Fraction Calculator?

Please follow the steps given below to use the mixed fraction calculator to apply the required arithmetic operations to mixed fractions and find the result.

**Step 1:**Go to Cuemath's online mixed fraction calculator.**Step 2:**Select the arithmetic operation from the drop-down list and enter the two mixed fractions in the given input boxes.**Step 3:**Click on the**"Calculate"**button to find the result of addition, subtraction, multiplication, and division of two mixed fractions.**Step 4:**Click on the**"Reset"**button to clear the fields and enter new values.

## How Does Mixed Fraction Calculator Work?

A mixed fraction is represented in the form of an improper fraction as \(a\tfrac{b}{c} = \frac{(a\times c) + b}{c}\). Follow the steps given below to apply the different arithmetic operations to mixed fractions.

**1. Addition**

**Step 1:**Convert the mixed fractions into improper fractions.**Step 2:**Check the values of denominators after converting them into improper fractions.**Step 3:**If the denominator values are the same, add the numerators and express the fraction in its simplest form.**Step 4:**If the denominator values are different, find the LCM of the denominators to make them equal.**Step 5:**Using the LCM, convert the fractions into like fractions and add the numerators

**2. Subtraction**

**Step 1:**Convert the mixed fractions into improper fractions.**Step 2:**Check the values of denominators after converting them into improper fractions.**Step 3:**If the denominator values are the same, subtract the numerators and simplify the fraction.**Step 4:**If the denominator values are different, find the LCM of the denominators to make them equal.**Step 5:**Using the LCM, convert the fractions into like fractions and subtract the numerators

**3. Multiplication**

**Step 1:**Convert the mixed fractions into improper fractions.**Step 2:**Multiply the numerators.**Step 3:**Multiply the denominators**Step 4:**Simplify the resultant fraction.

**4. Division**

**Step 1:**Convert the mixed fractions into improper fractions.**Step 2:**Take the reciprocal of the second fraction.**Step 3:**Multiply the first fraction with the reciprocal of the second fraction.**Step 4:**Simplify the resultant fraction

## Solved Examples on Mixed Fractions

**Example 1:** Add the fractions \(2\tfrac{3}{2}\) and \(5\tfrac{1}{3}\). Verify the result using the mixed fraction calculator.

**Solution:**

Converting the fractions to improper fractions

\(2\tfrac{3}{2} = \frac{(2\times 2 )+3}{2}\) = 7 / 2

\(5\tfrac{1}{3} = \frac{(5\times 3 )+1}{3}\) = 16 / 3

Taking the LCM of the denominators

LCM (2, 3) = 6

Converting the fractions and adding them

= \(\frac{(7\times 3 )+(16\times 2)}{6}\)

= (21 + 32) / 6

= 53 / 6

Thus, \(2\tfrac{3}{2}\) + \(5\tfrac{1}{3}\) = 53 / 6.

**Example 2:** Multiply the fractions \(12\tfrac{3}{4}\) and \(4\tfrac{5}{9}\). Verify the result using the mixed fraction calculator.

**Solution:**

Converting the fractions to improper fractions

\(12\tfrac{3}{4} = \frac{(12\times 4 )+3}{4}\) = 51 / 4

\(4\tfrac{5}{9} = \frac{(4\times 9 )+5}{9}\) = 41 / 9

On multiplying

= \(\frac{51 \times 41}{4\times 9}\)

= 623 / 36

Thus, \(12\tfrac{3}{4}\) x \(4\tfrac{5}{9}\) = 623 / 36

Similarly, you can try the mixed fraction calculator to add, subtract, multiply and divide the following mixed fractions:

- \(17\tfrac{4}{12}\) and \(8\tfrac{4}{7}\)
- \(23\tfrac{1}{5}\) and \(3\tfrac{7}{14}\)

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