Adding Mixed Fractions Calculator
Fractions are defined as the parts of a whole and can be represented as a numerical value. A fraction can be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing.
What is Adding Mixed Fractions Calculator?
'Cuemath's Adding Mixed Fractions Calculator' is an online tool that helps to calculate the sum of two given mixed fractions. Cuemath's online Adding Mixed Fractions Calculator helps you to calculate the sum of two mixed fractions within a few seconds.
Note: Enter up to 2 digits in each input box.
How to Use Adding Mixed Fractions Calculator?
Please follow the steps below on how to use the calculator:
- Step1: Enter the two mixed fractions in the given input boxes.
- Step2: Click on the "Add" button to find the sum of two mixed fractions
- Step3: Click on the "Reset" button to clear the fields and enter the new values.
How to Find Sum of Two Mixed Fractions?
A mixed fraction is defined as a fraction represented as a combination of a whole and a proper fraction.
A mixed fraction is represented as \(a\frac{b}{c}\) = \(\frac{(a × c) + b}{c}\)
Please follow the below steps on how to add two mixed fractions
- 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 and then add the numerators.
Solved Example:
Find the sum of two mixed fractions \(5 \frac{2}{3}\) and \(2 \frac{5}{4} \)
Solution:
We first convert the mixed fractions into improper fractions.
\(5 \frac{2}{3}\)= \(\frac{(5*3)+2}{3}\) = \(\frac{17}{3}\)
\(2 \frac{5}{4} \) = \(\frac{(2*4)+5}{4}\)= \(\frac{13}{4}\)
Now, \(\frac{17}{3}\) + \(\frac{13}{4}\)( As the denominator values are different, take LCM of denominators, that is, LCM of (3,4) which is 12.
=\(\frac{17*4}{12}\) + \(\frac{13*3}{12}\)
=\(\frac{68}{12}\) + \(\frac{39}{12}\)
=\(\frac{68+39}{12}\)
=\(\frac{107}{12}\)
Similarly, you can try the calculator and find the addition for the following mixed fractions:
- \(2 \frac{5}{4}\) and \(3 \frac{8}{4}\)
- \(3 \frac{8}{7}\) and \(4 \frac{3}{5}\)