Improper Fractions

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

More Examples

3 two 7 3 sixteen 15 15 xv 100 5

Run into how the summit number is bigger than (or equal to) the bottom number?
That makes it an Improper Fraction, (only in that location is aught wrong almost Improper Fractions).

3 Types of Fractions

There are 3 types of fraction:

Fraction Types: Proper, Improper, Mixed

Fractions

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

Numerator Denominator

The superlative 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 take 7 parts
  • Each part is a quarter ( one/four ) of a whole

So we can ascertain the 3 types of fractions like this:

Proper Fractions: The numerator is less than the denominator
Examples: 1/3 , 3/iv , 2/vii
Improper Fractions: The numerator is greater than (or equal to) the denominator
Examples: 4/three , 11/4 , vii/vii
Mixed Fractions: A whole number and proper fraction together
Examples: 1 1/3 , 2 1/4 , 16 ii/five

Improper Fraction

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

4/4
4 4

Tin can exist Equal

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

Well information technology is the same as a whole, merely it is written as a fraction, and then most people concur it is a type of improper fraction.

Improper Fractions or Mixed Fractions

We can employ either an improper fraction or a mixed fraction to testify the same amount.

For instance 1 three 4 = 7 4 , as shown here:

Converting Improper Fractions to Mixed Fractions

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

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

Case: Convert 11 four to a mixed fraction.

Dissever:

11 ÷ 4 = 2 with a residuum of iii

Write downward the 2 and then write downwardly the residuum (three) above the denominator (4).

Answer:

2 iii 4

That example tin be written like this:

Fraction 11/4 = 2 3/4

Example: Convert 10 3 to a mixed fraction.

Fraction 11/4 = 2 3/4

Respond:

3 1 three

Converting Mixed Fractions to Improper Fractions

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

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  • Multiply the whole number part by the fraction's denominator.
  • Add that to the numerator
  • And so write the result on meridian of the denominator.

Instance: Catechumen three 2 v to an improper fraction.

Multiply the whole number function by the denominator:

3 × five = 15

Add that to the numerator:

15 + ii = 17

So write that outcome above the denominator:

17 5

We can exercise the numerator in one go:

Fraction 2 2/5 = 17/5

Example: Convert two 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 confusing when we write them in a formula: should the ii parts be added or multiplied?

Mixed Fraction: What is: 1 + ii 1 4 ?
Is it: 1 + two + one four = 3 1 4 ?
Or is it: 1 + 2 × 1 iv = one 1 two ?
Improper Fraction: What is: 1 + 9 four ?
It is: iv iv + ix 4 = xiii 4 yes

Merely, for everyday utilize, people sympathise mixed fractions better.

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


Nosotros Recommend:

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