How do you convert improper fractions to mixed numbers

Solution

Step 1: Convert a mixed number from an improper fractionWe must divide the dividend by the divisor in order to change an improper fraction to a mixed number. After division, the acquired quotient becomes the whole numerals, the remainder becomes the new numerator, and the denominator remains the same, resulting in a mixed number.The classification of fractions is,Proper Fraction – Numerator < Denominator Improper Fraction – Numerator > DenominatorMixed Fraction – Whole number + Proper fractionStep 2: Process to change an improper fraction to a mixed number.A fraction with the divisor always lower than the dividend is called an improper fraction or polynomial fraction. Like 92 is an improper fraction.A mixed fraction, also known as a mixed integers, is made up of a whole number and a correct fraction, like 417 is a mixed number, where 4 is the whole number and 17 is a proper fraction.To convert a mixed number from an improper fraction, divide the numerator by the divisor and compute the remnant and quotient. The quotient is now the positive integers of the finalized mixed fraction, the remnant is the dividend, and the divisor is unchanged.For example,Change the improper fraction into a mixed number: 114.As we can see the number 114, when we dividing 11 by 4, it gives 2 as quotient and 3 as remainder.So,It can be written as, 234.Thus, the mixed fraction of improper fraction 114 is 234. (adsbygoogle = window.adsbygoogle || []).push({});

An Improper Fraction has a top number larger than (or equal to) the bottom number.

It is usually "top-heavy"

More Examples

See how the top number is bigger than (or equal to) the bottom number?
That makes it an Improper Fraction, (but there is nothing wrong about Improper Fractions).

Three Types of Fractions

There are three types of fraction:

Fractions

A Fraction (such as 7/4) has two numbers:

NumeratorDenominator

The top number (the Numerator) is the number of parts we have.
The bottom number (the Denominator) is the number of parts the whole is divided into.

Example: 7/4 means:

• We have 7 parts
• Each part is a quarter (1/4) of a whole
  

So we can define the three types of fractions like this:

Improper Fraction

So an improper fraction is a fraction where the top number (numerator) is greater than or equal to the bottom number (denominator): it is top-heavy.

Can be Equal

What about when the numerator is equal to the denominator? For example 4/4 ?

Well it is the same as a whole, but it is written as a fraction, so most people agree it is a type of improper fraction.

Improper Fractions or Mixed Fractions

We can use either an improper fraction or a mixed fraction to show the same amount.

For example 134 = 74, as shown here:

Converting Improper Fractions to Mixed Fractions

To convert an improper fraction to a mixed fraction, follow these steps:

	Divide the numerator by the denominator. Write down the whole number answer Then write down any remainder above the denominator.

Example: Convert 114 to a mixed fraction.

Divide:

11 ÷ 4 = 2 with a remainder of 3

Write down the 2 and then write down the remainder (3) above the denominator (4).

Answer:

2 34

That example can be written like this:

Example: Convert 103 to a mixed fraction.

Answer:

3 13

Converting Mixed Fractions to Improper Fractions

To convert a mixed fraction to an improper fraction, follow these steps:

	Multiply the whole number part by the fraction's denominator. Add that to the numerator Then write the result on top of the denominator.

Example: Convert 325 to an improper fraction.

Multiply the whole number part by the denominator:

3 × 5 = 15

Add that to the numerator:

15 + 2 = 17

Then write that result above the denominator:

175

We can do the numerator in one go:

Example: Convert 219 to an improper fraction.

Are Improper Fractions Bad ?

NO, they aren't bad!

For mathematics they are actually better than mixed fractions. Because mixed fractions can be confusing when we write them in a formula: should the two parts be added or multiplied?

But, for everyday use, people understand mixed fractions better.

Example: It is easier to say "I ate 214 sausages", than "I ate 94 sausages"

We Recommend:

• For Mathematics: Improper Fractions
• For Everyday Use: Mixed Fractions