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 upto 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 Fraction Calculator
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 \(3\tfrac{7}{14}\)