Dividing 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 the Dividing Mixed Fractions Calculator?
'Dividing Mixed Fractions Calculator' is an online tool that helps to calculate the division of two mixed fractions. Online Dividing Mixed Fractions Calculator helps you to calculate the division of two mixed fractions within a few seconds.
Note: Enter up to 2 digits in each input box.
How to Use Dividing Mixed Fractions Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Enter the two mixed fractions in the given input boxes.
- Step 2: Click on the "Divide" button to find the division of two mixed fractions.
- Step 3: Click on the "Reset" button to clear the fields and enter the new values.
How to Divide 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 to find the division of two mixed fractions:
- Step 1: Convert the mixed fractions into improper fractions.
- Step 2: Now, take the reciprocal of the second fraction.
- Step 3: Now multiply the values of numerators after converting them into an improper fraction and taking the reciprocal of the second fraction
- Step 4: Now multiply the values of denominators after converting them into improper fractions and express the fraction in its simplest form.
Solved Example:
Divide \(5 \frac{2}{3}\) and \(2 \frac{5}{4} \)
Solution:
We first convert the mixed fractions into improper fractions.
\(5 \frac{2}{3}\)= \(\frac{(5×3)+2}{3}\) = \(\frac{17}{3}\)
\(2 \frac{5}{4} \) = \(\frac{(2×4)+5}{4}\)= \(\frac{13}{4}\)
= \(\frac{17}{3} / \frac{13}{4}\)
= \(\frac{17}{3} × \frac{4}{13}\)
= \(\frac{68}{39}\)
Similarly, you can try the calculator and find the division for the following mixed fractions:
- \(2 \frac{5}{4}\) and \(3 \frac{8}{4}\)
- \(3 \frac{8}{7}\) and \(4 \frac{3}{5}\)