Free Calculator To Convert Mixed Fraction Into Improper Fraction

Welcome to use the mixed fraction to improper fraction calculator, where you can easily convert mixed fractions into improper fractions.

Mixed fraction to improper fraction calculator

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What are improper fractions and mixed fractions?

As we all know, there are three forms of fractions: proper fractions, improper fractions and mixed fractions.

A proper fraction is a fraction whose numerator is smaller than the denominator.

An improper fraction is a fraction whose numerator is greater than or equal to the denominator, the value of an improper fraction is greater than or equal to 1.

A mixed fraction is also a form of an improper fraction, which is a fraction composed of integers and proper fractions.

For examples

12, the numerator 1 is less than the denominator 2, which is a proper fraction

85, the numerator 8 is greater than the denominator 5, so, it’s an improper fraction

123 is a mixed fraction, the integer part is 1, and the proper fraction part is 23.

There is a one-to-one correspondence between mixed fractions and improper fractions. Mixed fractions can be converted into improper fractions, and improper fractions can also be converted into mixed fractions. Usually involving the calculation of mixed fractions, the mixed fractions must be converted into improper fractions first, and then calculate. Now, let’s take a look at how to convert mixed fractions into improper fractions.

How to convert mixed fractions into improper fractions?

There are 3 steps to turn a mixed fraction into an improper fraction:

1Multiply the whole number and the denominator. For example, if the fraction is 2 3/4, multiply 4 * 2 and the result is 8.
2Add the numerator to the answer from first step. So, 3 + 8 = 11.
3Take the answer of step 2 as the numerator and the denominator of the mixed fraction as the denominator to make an improper fraction, and this will be 11/4.

For example, convert 123 into an improper fraction.

123

= 1 * 3 + 23

= 3 + 23

= 53

How to use mixed fraction to improper fraction calculator

The process of using mixed fraction to improper fraction calculator is very simple, enter the numbers in the input fields whole number value, numerator value and denominator value. Then click the calculate button, the whole operation process is completed in a few seconds. You can click the Reset button to clear the values.

Solved examples using mixed fractions to improper fractions calculator

What is 256 as an improper fraction?

Enter 2 into the whole number input box.
Enter 5 into the numerator value input box.
Enter 6 into the denominator value input box
Click calculate button.

As the picture shows, the improper fraction of 256 is 176.

What is 534 as an improper fraction?

Enter 5 into the whole number input box.
Enter 3 into the numerator value input box.
Enter 4 into the denominator value input box
Click calculate button.

As the picture shows, the improper fraction of 534 is 234.

What is 378 as an improper fraction?

Enter 3 into the whole number input box.
Enter 7 into the numerator value input box.
Enter 8 into the denominator value input box
Click calculate button.

As the picture shows, the improper fraction of 378 is 318.