Mixed Fraction To Improper Fraction Calculator

Mixed Fraction:  

Improper Fraction:  

Mixed Fraction to Improper Fraction Calculator is a free online tool that displays the conversion of mixed fraction into an improper fraction. BYJU’S online mixed fraction to improper fraction calculator tool performs the calculation faster and it displays the conversion value in a fraction of seconds.

How to Use the Mixed Fraction to Improper Fraction Calculator? 

The procedure to use the Mixed Fraction to Improper Fraction calculator is as follows:

Step 1: Enter the mixed fraction in the input field

Step 2: Now click the button “Solve” to get the improper fraction

Step 3: Finally, the conversion of mixed fraction into an improper fraction  will be displayed in the output field

What is Meant by Mixed Fraction to Improper Fraction?

In mathematics, the fraction is defined as the ratio of two numbers and it is represented using the form “x/y” or “numerator value/denominator value”. The fraction can be categorized into three different types. The types of fractions are:

Proper Fraction: If the numerator value is smaller than the denominator value, then it is called a proper fraction. Example 6/7

Improper Fraction: If the numerator value is larger than the denominator value, then it is called an improper fraction. Example 9/8

Mixed Fraction: The mixed fraction is defined as the combination of a whole number and a proper fraction. Example 5 ¾.

In order to convert the  mixed fraction into an improper fraction, follow the below procedure:

Step 1: Multiply the whole number by the denominator of a fraction

Step 2: Now, add the obtained value with the numerator value. This should be the new numerator value of a fraction

Step 3: keep the same denominator value, and finally you get an improper fraction

Solved Examples on Mixed Fraction to Improper Fraction

Example 1: 

Convert 5 ½ into an improper fraction.

Solution:

Given Mixed fraction is 5 ½ 

Step 1: Multiply 5 by 2: 5 × 2 = 10

Step 2: Add 10 with 1: 10+1 = 11 (New numerator value).

Hence, the improper fraction is 11/2.

Example 2:

Convert -4 ¾ into an improper fraction

Solution:

Given mixed fraction is -4 ¾ 

Step 1: -4 × 4 = -16

Step 2: -16+3 = -13

Step 3: -13/4

Hence, the obtained improper fraction is -13/4

Frequently Asked Questions on Mixed Fraction to Improper Fraction

Define proper and improper fractions

In a fraction, if a numerator is lesser than the denominator, then we can say the fraction as a proper fraction. If the numerator is larger than the denominator, then we can say it is an improper fraction.

Give the examples for proper, improper and mixed fractions

Proper fraction examples: ⅚, ⅔, 7/9, etc.
Improper fraction examples: 9/7, 13/6, 22/3, etc.
Mixed fractions examples: 6 ½ , 4 ⅔ , 9 ⅘ , etc.

How to convert a mixed fraction into an improper fraction?

The procedure to convert the mixed fraction into an improper fraction is:
Step 1: Multiply the whole number by the denominator value
Step 2: Now, add the obtained value with the numerator value, which is the numerator value of an improper fraction
Step 3: Write down the same denominator value given in the proper fraction
Step 4: Finally, a new fraction is obtained, which is called an improper fraction.

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