Introduction to Dividing Fractions Calculator
The dividing fractions calculator is the best online tool that is designed to find the division of a given fraction in a few seconds. Our tool evaluates the fraction by dividing with another and reducing that fraction to give a solution in simplified form.
The fraction division calculator is especially useful for students, educators, and anyone who is dealing with fractions problems as it has various applications, such as construction, and finance.
What is Dividing Fraction
Dividing fraction is the method that is used to find the division of one fraction to another within the fraction. As division operation becomes complex, it uses the reciprocal fractions method to make it a multiplication for a solution.
This process also helps you to get the lowest term value after division. In the given form a and c are numerator terms and b and d are denominator terms. The dividing fractions calculator uses the following formula for its calculations,
$$ \frac{a}{b} \div \frac{c}{d} \;=\; \frac{ad}{bc} $$
How to Divide Fractions
A dividing fraction has a different method for fractions than the regular division method. If you use the basic guidelines to find the division method you always get precise solutions of your fraction problem.
Let us understand the division fraction method with the help of its basic rules followed by the divide fractions calculator to understand how it solves the problems. These rules are:
Step 1:
The fraction divider calculator determines the first and the second terms of fractions from the given input.
Step 2:
In division, we use the reciprocal method in which the second fraction term numerator and denominator values are interchanged. In the fraction calculator division, the division sign between both fractions becomes a multiply sign after taking the reciprocal.
Step 3:
Now the dividing fractions generator multiplies both the fraction in which the numerator is multiplied with the numerator or the denominator is multiplied with the denominator. (There is no condition that the same denominator can multiply only).
Step 4:
After multiplication, the dividing fractions solver checks whether the fraction can be simplified with the same number or not.
For that calculator with dividing fractions finds the greatest denominator factor of the numerator or denominator values.
Step 5:
If their GCD is the same then the fraction division calculator simplifies it. Otherwise, it leaves the fraction as it is because it cannot be simplified.
Step 6:
After verification, you get the exact solution of the division fraction according to your given input values.
Solved Example of Dividing Fraction:
Let us observe the working process of dividing fractions calculator that is given in the above paragraph with the help of a solved example.
Example:
what is 2/3 divided by 3/4 as a fraction
Solution:
$$ \frac{2}{3} \div \frac{3}{4} \;=\; ? $$
Take the reciprocal of the second fraction to change the division operation to multiplication.
$$ \frac{2}{3} \div \frac{3}{4} \;=\; \frac{2}{3} \times \frac{4}{3} $$
$$ \frac{2 \times 4}{3 \times 3} \;=\; \frac{8}{9} $$
Therefore the solution is,
$$ \frac{2 \times 4}{3 \times 3} \;=\; \frac{8}{9} $$
Example:
what is 2/3 divided by 2 in fraction form
Solution:
$$ \frac{2}{3} \div \frac{2}{1} \;=\; ? $$
Take the reciprocal of the second fraction to change the division operation to multiplication.
$$ \frac{2}{3} \div \frac{2}{1} \;=\; \frac{2}{3} \times \frac{1}{2} $$
$$ =\; \frac{2 \times 1}{3 \times 2} \;=\; \frac{2}{6} $$
The result of fractions can easily be reduced with the same number.
$$ \frac{2}{6} \;=\; \frac{2 \div 2}{6 \div 2} \;=\; \frac{1}{3} $$
$$ \frac{2}{3} \div \frac{2}{1} \;=\; \frac{1}{3} $$
Thus the solution of the given fraction is 1/3.
How to Use the Dividing Fractions Calculator
The divide fractions calculator has a simple layout that allows you to use it to calculate the dividing fractions into simplified form in solution.
Before adding the input fraction in the fraction divider calculator, follow some instructions that are very helpful for you while using this tool. These steps are:
- Enter the first fraction numerator or denominator in the input box.
- Enter the second fraction numerator or denominator in the next input box.
- Review your fraction value before hitting the calculate button to start the evaluation process in the fraction calculator division.
- Click the “Calculate” button to get the result of your given dividing fraction problem.
- If you are trying out our dividing fractions solver for the first time then you can use the load example to understand this concept.
- Click on the “Recalculate” button to get a refresh page for more example solutions of dividing fraction problem.
Final Result of Fraction Division Calculator
Dividing fractions calculator gives you the solution to given fractions when you add the input into it. It provides you with solutions in complete detail. It may be included as:
- Result option
When you click on the result option it gives you a solution of dividing fractions in the form of the simplest fraction.
- Possible steps
It provides you with a solution where all the calculation steps are mentioned when you click on this option.
Benefits of Divide Fractions Calculator
The fraction division calculator provides you with serval benefits whenever you use it to calculate the dividing fraction problems and gives you a solution. These benefits are:
- The fraction divider calculator is a free-of-cost tool that enables you to use it for free to find the fraction problem.
- It is an adaptable tool that can manage all types of fractions for division to find the solution in the form of a simplified fraction.
- Our fraction calculator division helps you to get a strong hold on the dividing fraction concept when you use it to practice solving more examples.
- It saves the time that you spend on the calculation of dividing fractions into lowest term.
- The dividing fractions generator is a reliable tool that provides you with accurate solutions whenever you use it to calculate dividing fractions, without any mistakes.
- Dividing fractions calculator provides the solution with a complete step-by-step method that provides you clarity on dividing fraction problems.
