AnImproper portion has a optimal number bigger than (or same to) the bottom number.

You are watching: 3 1/2 as an improper fraction

the is normally "top-heavy"

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See just how the optimal number is bigger than (or equal to) the bottom number? That provides it an improper Fraction, (but over there is naught wrong around Improper Fractions).

Three varieties of Fractions

There are three types of fraction:



A portion (such together 7/4) has actually two numbers:


The height number (the Numerator) is the number of parts us have. The bottom number (the Denominator) is the number of parts the totality is divided into.

Proper Fractions:Improper Fractions:Mixed Fractions:
The molecule is less than the denominator
Examples: 1/3, 3/4, 2/7
The numerator is greater than (or same to) the denominator
Examples: 4/3, 11/4, 7/7
A totality number and proper portion together
Examples: 1 1/3, 2 1/4, 16 2/5

Improper Fraction

So one improper fraction is a portion where the optimal number (numerator) is better than or same to the bottom number (denominator): the is top-heavy.


Can be Equal

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

Well the is the very same as a whole, however it is composed as a fraction, therefore most human being agree that is a kind of wrong fraction.

Improper fractions or mixed Fractions

We have the right to use one of two people an improper portion or a mixed portion to display the very same amount.

For example 134 = 74, as presented here:


Converting Improper fractions to combined Fractions

To transform an improper fraction to a blended fraction, follow these steps:
Divide the molecule by the denominator.Write under the entirety number answerThen write down any remainder over the denominator.

Example: convert 114 come a mixed fraction.


11 ÷ 4 = 2 with a remainder of 3

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


2 34

That example can it is in written prefer this:


Example: convert 103 come a combined fraction.



3 13

Converting combined Fractions to Improper Fractions

To transform a mixed fraction to an not correct fraction, follow these steps:
Multiply the entirety number part by the fraction"s denominator.Add the to the numeratorThen write the result on top of the denominator.

Example: convert 325 to an not correct fraction.

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Multiply the entirety number part by the denominator:

3 × 5 = 15

Add the to the numerator:

15 + 2 = 17

Then compose that an outcome above the denominator:


We can do the numerator in one go:


Example: convert 219 to an wrong fraction.


Are not correct Fractions poor ?

NO, lock aren"t bad!

For math they space actually better than blended fractions. Since mixed fractions have the right to be confusing as soon as we compose them in a formula: should the two components be added or multiplied?

Mixed Fraction: Improper Fraction:
What is:1 + 214 ?
Is it:1 + 2 + 14= 314 ?
Or is it:1 + 2 × 14= 112 ?
What is:1 + 94 ?
It is: 44 + 94 = 134

But, because that everyday use, human being understand mixed fractions better.

Example: the is less complicated to say "I ate 214 sausages", than "I ate 94 sausages"

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For Mathematics: not correct FractionsFor everyday Use: mixed Fractions
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