Introduction to Reduce Fraction Calculator:
Reduce fraction calculator is an online tool that helps you to reduce the given fraction (whether it belongs to a proper or improper fraction) questions into the simplest form of a fraction.
Our reduce fractions calculator determines the given fractions into their simplest form until it is not reduced anymore and gives solution in fraction in lowest terms.
The reduced fraction calculator is an educational tool that gives complete knowledge about the lowest-term value as it gives you solutions in steps for better understanding.
What is the Lowest Term?
The term "lowest terms" refers to a fraction that has been used for reduced fractions till the numerator and the denominator are not possible to be further simplified. This method is also called the lowest term or reduced fraction method.
It means the fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator when you divide it with the same number.
How do you Simplify Fractions to the Lowest Terms?
For simplifying a fraction in lowest terms means reducing it in such a form that the numerator and denominator numbersbecome so small that they cannot be simplified.
Now we will let you know how the reduce fraction calculator evaluates the fraction in a step-by-step method to simplify fraction in lowest terms. Suppose 24/36 reduces it to the lowest terms of a fraction.
Step 1:
First, the reducing fractions calculator determines the numerator and denominator numbers which are 24 and 36 respectively
Step 2:
Then, the reduce calculator finds the factors of 24 and 36 using the prime factorization method.
Prime factors of the numerator and the denominator are.
$$ Prime\; Factors\; of\; 24: 1, 2, 3, 4, 6, 8, 12, 24 $$
$$ Prime\; Factors\; of\; 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 $$
$$ All\; the\; common\; factors\; are:\; 1, 2, 3, 4, 6, 12 $$
The greatest common factor is 12.
Step 3:
Then the lowest term calculator divides both the numerator and the denominator by 12.
$$ 24 \div \frac{12}{36} \div 12 \;=\; \frac{2}{3} $$
Step 4:
After dividing the fraction with GCD the lowest terms calculator gives a solution in the form of the lowest fraction.
$$ \frac{24}{36} \;=\; \frac{2}{3} $$
Step 5:
Verify the simplified fraction, when no other common factors exist between the numerator and the denominator.
Example:
what's the fraction 18/24 reduced to its lowest terms
Solution:
The factors of 18 are:
$$ 1, 2, 3, 6, 9, 18 $$
The factors of 24 are:
$$ 1, 2, 3, 4, 6, 8,12, 24 $$
So the greatest common factor is 6 so,
$$ \frac{18 \div 6}{24 \div 6} \;=\; \frac{3}{4} $$
$$ \frac{3}{4} $$
Example:
When reduced to its lowest terms the fraction 12/16 is
Solution:
The factors of 12 are:
$$ 1, 2, 3, 4, 6, 12 $$
The factors of 16 are:
$$ 1, 2, 4, 8, 16 $$
Then the greatest common factor is 4 so,
$$ \frac{12 \div 4}{16 \div 4} \;=\; \frac{3}{4} $$
$$ \frac{3}{4} $$
Example:
what is 0.22 as a fraction in lowest terms
Solution:
Convert decimal into a fraction 22/100.
The factors of 22 are:
$$ 1, 2, 11, 22 $$
The factors of 100 are:
$$ 1, 2, 4, 5, 10, 20, 25, 50, 100 $$
The greatest common factor is 2
$$ \frac{22 \div 2}{100 \div 2} \;=\; \frac{11}{50} $$
$$ =\; \frac{11}{50} $$
How to Use Reduce Fraction Calculator?
The reduce fractions calculator has a simple design that enables you to use it to calculate the fraction in simplified form when you compare them.
Before adding the input number into the reduced fraction calculator, you must follow some simple steps so that you get a wonderful experience. These steps are:
- Enter the numerator or denominator number that you want to find in the input box.
- Review your fraction value before hitting the calculate button to start the evaluation process in the reducing fractions calculator.
- Click the “Calculate” button to get the result of your given fraction problem.
- If you are trying our reduce calculator for the first time then you can use the load example to get a better understanding.
- Click on the “Recalculate” button to get a refresh page for more example solutions of simplified fraction problems.
Final Result of Reduce Fractions Calculator:
The reduce fraction calculator gives you the solution to a given fraction when you add the input into it. It provides you with solutions in a complete procedure. It may be included as:
- Result Option:
When you click on the Result option it gives you a solution in the form of the simplest fraction.
- Possible Steps:
It provides you with a solution with all the evaluation processes that are present in a step-by-step method when you click on this option.
Advantages of Reduced Fraction Calculator:
The fraction reducer calculator provides you with multiple advantages whenever you use it to calculate the reduce fraction problems and gives you a solution. These benefits are:
- Lowest term calculator is a free-of-cost tool that enables you to use it for free to find the lowest terms of a fraction.
- It is a versatile tool that can manage various types of fractions to find the solution in the form of a simplified fraction.
- Our reduce fractions calculator helps you to get a strong hold on the reduce fraction concept when you use it to practice by solving more examples
- Our tool saves the time that you spend on doing the lowest fraction term in calculations.
- The reducing fractions calculator is a reliable tool that provides you with accurate solutions whenever you use it to calculate fractions, without any error.
- The reduce fraction calculator provides the solution with a complete process in a stepwise method so that you get clarity on the lowest-term problems.
