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Improper Fraction to Mixed Number Calculator

Improper Fraction to Mixed Number Calculator: It is a handy tool that converts an improper fraction to a mixed number in a short span of time. You just need to give the fraction numerator, denominator in the mentioned input boxes and hit the calculate button to obtain the mixed number as output. Check out the step by step detailed process to change the improper fraction to mixed fraction with example questions.

Ex: 25/10 as a Mixed Number (or) 46/22 as a Mixed Number (or) 57/15 as a Mixed Number


 

Here are some samples of Improper Fractions to Mixed Numbers calculations.

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Improper Fraction to Mixed Number Calculator is a user-friendly tool that provides the mixed number for the given improper fraction with an explanation. Also, learn about the improper fraction, mixed number, steps to use the calculator.

Definition of Improper Fraction

A fraction is defined as the part of whole and it is the ratio of two numbers. It can be expressed in the a/b where a is called the numerator and b is called the denominator. Fractions are divided into different types. Those types are mentioned here:

Improper Fraction: In this fraction, the numerator value is more than the denominator value.

Mixed Number: It is the combination of whole number and a proper fraction.

Proper Fraction: In this kind of fraction, the value of numerator is less than the value of denominator.

Steps to Convert Improper Fraction to Mixed Number

Go through the easy steps that help to convert an improper fraction into a mixed number. These are also useful to simplify the improper fractions having the greater numerators.

  • Get any improper fraction for the conversion process.
  • Using the long division process, divide the two numbers of the fraction.
  • Observe the quotient and remainder.
  • Take the quotient as the whole number, remainder as the numerator of the mixed number.
  • The denominator of the mixed number is same as the improper fraction.

Questions on Converting Improper Fraction to Mixed Number

Question 1

Convert Improper Fraction 46/5 into Mixed Number?

Solution:

Given Improper Fraction 46/5

In this Dividend = 46, Divisor = 5

Use Long Division method for converting an improper fraction to mixed number

On dividing the number 46 by 5 we will have the quotient as 9 and remainder 1.

Rewriting the Quotient and Remainder to obtain the mixed number.

Quotient Value 9 will become the whole number and remainder 1 as the numerator and the original denominator as the denominator.

Thus, 46/5 = 9 1/5

Question 2

Convert Improper Fraction 87/6 into Mixed Number?

Solution:

Given Improper Fraction 87/6

In this Dividend = 87, Divisor = 6

Use Long Division method for converting an improper fraction to mixed number

On dividing the number 87 by 6 we will have the quotient as 14 and remainder 3.

Rewriting the Quotient and Remainder to obtain the mixed number.

Quotient Value 14 will become the whole number and remainder 3 as the numerator and the original denominator as the denominator.

Thus, 87/6 = 14 3/6 = 14 1/2

How to use Improper Fraction to Mixed Number Calculator?

  • Provide the improper frcation numerator, denominator as the inputs.
  • Hit the calculate button available below the input section.
  • The mixed number for the given improper fraction will get displayed on the screen.
Improper Fraction to Mixed Number Calculator

FAQs on Improper Fraction to Mixed Fraction Calculator

1. How to convert an improper fraction to a mixed number?

Make use of the long division method to get the quotient and remainder of the improper fraction. Set the quotient as the whole number, remainder as the numerator and original denominator of the fraction as the denominator of the mixed number.

2. Write 28/15 as a mixed number.

Given input is 28/15

Divide 28 by 15 using the long division method.

We get the quotient as 1, the remainder as 13.

So, 28/15 = 1 (13/15).

3. How to simplify mixed fractions?

Here simplifying mixed fraction means converting it into an improper fraction. The simple technique is to multiply the denominator of the fraction with the whole number. Add the product to the numerator of the fraction. Now, write the sum as the numerator, the original denominator as the denominator for getting mixed fractions.

4. What is an improper fraction?

An improper fraction is a type of fraction in which the value of the numerator is always greater than the value of the denominator. An example is 89/2.