Mixed Number to Improper Fraction Calculator

Now convert the mixed numbers into improper fractions in just a few seconds using the mixed number to improper fraction calculator.

Whole Number:
Numerator(n):
Denominator(d):
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Table of Contents:

Introduction to Mixed Number to Improper Fraction Calculator

Mixed number to improper fraction calculator is an online tool that convert mixed numbers to improper fractions in a few seconds.

Mixed fraction to improper fraction converter is a beneficial source that not only used for converting mixed numbers to improper fractions but also for easily performing operations like addition, subtraction, multiplication, and division on fractions.

Mixed Number to Improper fraction Calculator with steps

The mixed fraction into improper fraction calculator provides you with a solution with no calculation mistakes, especially when dealing with complex calculations of mixed fractions.

What is Mixed to Improper Fraction?

Mixed number to an improper fraction is a method that is used to change a mixed fraction into an improper fraction to simplify and solve fraction problems.

Although mixed fractions and improper fractions a types of fractions in which mixed numbers consist of a whole number part and a fractional part, while improper fractions have a numerator value that is larger than or equal to the denominator value.

It can be changed into an improper fraction with the help of basic operations like multiplication and addition but the value of the denominator remains the same even after converting mixed numbers to improper fractions.

How to Convert a Mixed Number into an Improper Fraction

For the calculation of a mixed number into an improper fraction, the Mixed number to improper fraction calculator uses some basic mathematical methods in a few steps. Let's see in detail how to convert mixed numbers to improper fractions in steps.

Suppose we take the mixed number a b/c as an example to change into an improper fraction number.

Step 1:

First, mixed number to an improper fraction calculator multiplies the whole number part “a” with the denominator “c” of the fraction. It can be expressed as:

$$ a \times c \;=\; ac $$

Step 2:

Now the calculator adds the result of multiplication “ac” with the numerator number “b” as,
$$ =\; ac + b $$

Step 3:

After addition, the calculator mixed number to improper fraction gives the new numerator, but the denominator remains the same. Its solution becomes an improper fraction.

$$ a\; \frac{b}{c} \;=\; ac + \frac{b}{c} $$

So, the improper fraction corresponding to the mixed number

$$ a\;\; \frac{b}{c} \;is\; ac\; +\; \frac{b}{c} $$

Example of Mixed Number to Improper Fraction

Let us understand the working process of the Mixed number to improper fraction calculator to reduce the given fraction into the simplest form with different types of number problems.

Example:

Convert 16 ⅔ mixed numbers into a proper fraction.

Solution:

Multiply the denominator by the whole number,

$$ 3 \times 4 \;=\; 12 $$

Add,

$$ 12 + 1 \;=\; 13 $$

Write answers over the denominator,

$$ \frac{13}{3} $$

Simplify the solution:

$$ =\; \frac{3 \times 4 + 1}{3} \;=\; \frac{13}{3} $$

Example:

Convert 5 7/8 mixed numbers into a proper fraction.

Solution:

Multiply the denominator by the whole number

$$ 8 \times 5 \;=\; 40 $$

Add the answer

$$ 40 + 7 \;=\; 47 $$

Write the answer,

$$ =\;\frac{47}{8} $$

Simplify the solution,

$$ =\; \frac{8 \times 5 + 7}{8} \;=\; \frac{47}{8} $$

How to Use Mixed Number to Improper Fraction Calculator

The mixed fraction to improper fraction converter has a simple design that enables you to calculate the mixed fraction (whole number, fraction part) into an improper fraction.

Before starting the calculation process in the mixed fraction into improper fraction calculator, you must follow some simple steps, so that you do not face any difficulty. These steps are:

  1. Enter the whole number in its required input box.
  2. Enter the numerator or denominator values in the input box.
  3. Review your mixed fraction value before hitting the calculate button to start the evaluation process in the mixed number to an improper fraction calculator.
  4. Click the “Calculate” button to get the result of your given number problem.
  5. You should try out the calculator mixed number to improper fraction first if you have ambiguity about its solution. For this, you can use the load example so that it provides you with an accurate solution.
  6. Click on the “Recalculate” button to get a refresh page for the evaluation of more solutions of Mixed numbers to improper fraction questions.

Output of Mixed Fraction to Improper Fraction Converter

Mixed number to improper fraction Calculator gives you the solution to given questions when you add the input fraction value in it. It provides you with solutions with a complete procedure for finding the mixed fraction problems into an improper fraction. It may contain as:

  • Result Option

Result option gives you a solution for the mixed fraction problem to change it into an improper fraction with a solution.

  • Possible Steps

It provides you with a solution where all the evaluation processes are mentioned in a stepwise method of the mixed number to the improper problem when you click the possible step button.

Useful Features of Mixed Fraction into Improper Fraction Calculator

The mixed fraction to improper fraction converter provides many useful features whenever you use it to find the mixed fraction to improper fraction questions and give solutions immediately. These features are:

  • The mixed number to an improper fraction calculator is a handy tool that allows you to get the solution to different kinds of mixed number questions into improper fractions as a solution.
  • You can try out our tool to get solutions of more examples related to this concept
  • It is a free tool so that you can use it to find the mixed number fraction question in real-time without spending any fee.
  • The calculator mixed number to improper fraction provides you with the solution in a complete process in a stepwise method so that you get clarity on the mixed number conversion into an improper fraction method.
  • Our tool saves you time and effort from doing mixed fraction question calculations and provides the solution of a given input question.
  • The mixed number to improper fraction calculator is a trustworthy tool that provides you with accurate solutions whenever you use it to find out the mixed number fraction value without making any error in the solution.
Related References
Frequently Ask Questions

What is a proper, improper, and mixed fraction with examples?

There are three types of fractions which are proper, improper, or mixed fractions. Let us understand proper, improper, and mixed fractions with definitions and examples to distinguish between them.

Proper Fraction:

A proper fraction is a fraction in which the numerator value is less than the denominator value.
For example, 3/4 is a proper fraction where 3 (numerator) is less than 4(denominator) value.

Improper Fraction:

An improper fraction is a fraction in which the numerator is greater than or equal to the denominator number. For example, 5/3 is an improper fraction because 5 is greater than 3.

Mixed Fraction:

A mixed fraction is the combination of a whole number and a fractional part. For example: 2 3/5 is a mixed fraction. It consists of the whole number 2 and the proper fraction 3/5

Convert into the improper fractions1 1/3 from a mixed fraction?

To convert a mixed number into an improper fraction some simple steps are used that are given:

Multiply the denominator by the whole number,

$$ 3 \times 1 \;=\; 3 $$

Add the answer to the numerator,

$$ 3 + 1 \;=\; 4 $$

Write the answer over the denominator

$$ \frac{4}{3} $$

Simplify solution,

$$ =\; \frac{3 \times 1 + 1}{3} \;=\; \frac{4}{3} $$

How to Multiply a Mixed Number to an Improper Fraction?

To multiply a mixed number to an improper fraction, follow these steps to know the procedure of multiplication of mixed numbers with the help of an example.

  1. Change the mixed number into an improper fraction. Multiply the improper fraction by the whole number part and add it with the numerator to get a new numerator value. $$ 3 \frac{1}{4} \;=\; 3 \times 4 + \frac{1}{4} $$

$$ =\; 12 + \frac{1}{4} $$

$$ =\; \frac{13}{4} $$

  1. Multiply the improper fraction by the fraction part of the mixed number.

$$ \frac{13}{4} \times \frac{5}{2} \;=\; 13 \times \frac{5}{4} \times 2 $$

$$ =\; \frac{65}{8} $$

So,3 1/4 multiplied by 5/2 Equals 65/8

How to Add Mixed Numbers to Improper Fractions?

For Adding mixed numbers to improper fractions involves a few steps, but that is very easy to understand the method of fraction addition. Here are step-by-step guide:

Suppose we want to add 2 1/4 To 5/2?

  1. Convert the mixed number into an improper fraction if it is not in improper fraction form.

$$ 2\frac{1}{4} \;=\; 2 \times 4 + \frac{1}{4} \;=\; \frac{9}{4} $$

  1. Find a common denominator between the fractions if they don't have the same denominator. To do this, find the least common multiple (LCM) of the denominators. The LCM of 4 and 2 is 4.
  2. Add the fractions of the same denominator, only the numerators together while keeping the denominator the same.

$$ \frac{9}{4} + \frac{10}{4} \;=\; 9 + \frac{10}{4} \;=\; \frac{19}{4} $$

  1. Simplify the resulting fraction

$$ \frac{19}{4} \;=\; 4 \frac{3}{4} $$

So, 2 1/4 added to 5/2 is 4 3/4.

Write the mixed number 4 1/3 as an improper fraction?

Multiply the denominator by the whole number,

$$ 3 \times 4 \;=\; 12 $$

Add the answer to the numerator,

$$ 12 + 1 \;=\; 13 $$

Write answer over the denominator,

$$ \frac{13}{3} $$

Simplified solution is,

$$ =\; \frac{3 \times 4 + 1}{3} \;=\; \frac{13}{3} $$

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