Question

how to convert improper fraction to mixed fraction ​

Answer 1

Before moving to the topic, Let us study the concept first!

What is an Improper Fraction?

Answer: A fraction whose numerator is greater than the denominator is known as Improper Fraction.

For example- $\sf \frac{5}{2} , \frac{6}{5} , \frac{7}{3}$

What is a Mixed fraction?

Answer: An improper fraction is converted into a fraction by division is known as Mixed fraction. We write this as a whole and a fraction.

For example-$\sf 6\frac{2}{3} ,5 \frac{3}{2}$

Required Answer

How to convert Improper Fraction to Mixed fraction?

Let us take an example for this conversion. $\implies \sf \large \frac{5}{2}$

So here, we have to convert this fraction into a mixed fraction. Steps to do this are:

1. Divide the fraction.
2. As it is improper fraction, we will have a remainder.
3. We write this as a whole and a fraction.
4. So we will write the divisor (2) as the whole number.
5. We will write Quotient(2) as denominator.
6. And remainder (1) as numerator.
7. Use attachement.

Answer 2

Answer:

Convert improper fractions to mixed numbers in simplest form. This calculator also simplifies proper fractions by reducing to lowest terms and showing the work involved.

In order to simplify a fraction there must be:

A number that will divide evenly into both the numerator and denominator so it can be reduced, or

The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number.

What is an Improper Fraction?

An improper fraction is any fraction where the numerator is greater than the denominator. Examples of improper fractions are 16/3, 81/9, 525/71.

How to Convert an Improper Fraction to a Mixed Number

Divide the numerator by the denominator

Write down the whole number result

Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.

Example: Convert the improper fraction 16/3 to a mixed number.

Divide 16 by 3: 16 ÷ 3 = 5 with remainder of 1

The whole number result is 5

The remainder is 1. With 1 as the numerator and 3 as the denominator, the fraction part of the mixed number is 1/3.

The mixed number is 5 1/3. So 16/3 = 5 1/3.

When possible this calculator first reduces an improper fraction to lowest terms before finding the mixed number form.

Example: Convert the improper fraction 45/10 to a mixed number.

This calculator reduces the improper fraction to lowest terms by dividing numerator and denominator by the greatest common factor (GCF). The GCF of 45 and 10 is 5.

45÷510÷5=92

Use this reduced improper fraction and divide 9 by 2: 9 ÷ 2 = 4 with remainder of 2

The whole number result is 4

The remainder is 1. With 1 as the numerator and 2 as the reduced denominator, the fraction part of the mixed number is 1/2.

The mixed number 4 1/2. So 45/10 = 4 1/2.