Improper Fractions

An Improper Fraction has a top number larger than (or equal to) the lesser number.
It is usually "summit-heavy"

More Examples

3 ii 7 3 16 fifteen fifteen 15 100 5

Encounter how the elevation number is bigger than (or equal to) the bottom number?
That makes it an Improper Fraction, (but there is aught incorrect about Improper Fractions).

Three Types of Fractions

In that location are three types of fraction:

Fraction Types: Proper, Improper, Mixed

Fractions

A Fraction (such as 7/four ) has 2 numbers:

Numerator Denominator

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/four means:

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

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

Proper Fractions: The numerator is less than the denominator
Examples: ane/iii , iii/iv , 2/7
Improper Fractions: The numerator is greater than (or equal to) the denominator
Examples: 4/3 , xi/iv , 7/seven
Mixed Fractions: A whole number and proper fraction together
Examples: ane 1/iii , 2 1/4 , 16 2/5

Improper Fraction

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

4/4
iv four

Can be Equal

What most when the numerator is equal to the denominator? For case 4/4 ?

Well information technology is the same equally a whole, but it is written as a fraction, so most people concord information technology 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 i 3 4 = 7 4 , as shown here:

Converting Improper Fractions to Mixed Fractions

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

dog looking
  • Divide the numerator by the denominator.
  • Write downward the whole number reply
  • Then write down whatsoever remainder above the denominator.

Example: Convert 11 4 to a mixed fraction.

Divide:

11 ÷ 4 = 2 with a residue of 3

Write down the 2 and and then write downward the residuum (iii) above the denominator (four).

Respond:

2 3 4

That example tin can be written like this:

Fraction 11/4 = 2 3/4

Example: Convert ten 3 to a mixed fraction.

Fraction 11/4 = 2 3/4

Reply:

iii 1 three

Converting Mixed Fractions to Improper Fractions

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

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

Example: Catechumen 3 2 five to an improper fraction.

Multiply the whole number part by the denominator:

3 × 5 = 15

Add that to the numerator:

15 + 2 = 17

And then write that result in a higher place the denominator:

17 five

Nosotros can practice the numerator in i go:

Fraction 2 2/5 = 17/5

Case: Catechumen 2 1 9 to an improper fraction.

Fraction 2 1/9 = 19/9

Are Improper Fractions Bad ?

NO, they aren't bad!

For mathematics they are actually ameliorate than mixed fractions. Because mixed fractions can be disruptive when we write them in a formula: should the ii parts exist added or multiplied?

Mixed Fraction: What is: 1 + 2 i 4 ?
Is it: 1 + 2 + 1 four = 3 1 4 ?
Or is it: 1 + 2 × i 4 = one i 2 ?
Improper Fraction: What is: ane + 9 4 ?
It is: 4 iv + 9 4 = 13 4 yes

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

Example: Information technology is easier to say "I ate ii 1 4 sausages", than "I ate nine 4 sausages"


We Recommend:

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