How to make whole number into fraction

What's a Numerator and What's A Denominator?

Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are. Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about.

(Also called "Mixed Numbers")

A Mixed Fraction is a whole number and a proper fraction combined.

Such as 134

Examples

See how each example is made up of a whole number and a proper fraction together? That is why it is called a "mixed" fraction (or mixed number).

Names

We can give names to every part of a mixed fraction:

Three Types of Fractions

There are three types of fraction:

Mixed Fractions or Improper 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