AnImproper portion has a top number bigger than (or same to) the bottom number.
You are watching: 7/4 as a mixed number
it is commonly "top-heavy"
See just how the top number is bigger than (or same to) the bottom number? That makes it an wrong Fraction, (but there is naught wrong about Improper Fractions).
Three varieties of Fractions
There room three varieties of fraction:
A fraction (such together 7/4) has two numbers:
The height number (the Numerator) is the number of parts us have. The bottom number (the Denominator) is the variety of parts the entirety is split into.
|The molecule is less than the denominator|
|Examples: 1/3, 3/4, 2/7|
|The molecule is better than (or equal 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|
So one improper portion is a fraction where the top number (numerator) is greater than or same to the bottom number (denominator): the is top-heavy.
Can be Equal
What around when the molecule is same to the denominator? For example 4/4 ?
Well that is the exact same as a whole, but it is written as a fraction, therefore most world agree the is a form of not correct fraction.
Improper fountain or blended Fractions
We have the right to use either an improper portion or a mixed fraction to show the exact same amount.
For example 134 = 74, as displayed here:
Converting Improper fountain to blended FractionsTo transform an improper portion to a combined fraction, follow these steps:
|Divide the numerator by the denominator.Write under the entirety number answerThen compose down any remainder over the denominator.|
Example: transform 114 to a combined fraction.
11 ÷ 4 = 2 through a remainder of 3
Write under the 2 and then compose down the remainder (3) above the denominator (4).
That example can it is in written like this:
Example: convert 103 come a combined fraction.
Converting combined Fractions to Improper FractionsTo convert a mixed portion to an improper fraction, follow these steps:
|Multiply the totality number part by the fraction"s denominator.Add that to the numeratorThen write the result on peak of the denominator.|
Example: transform 325 to an wrong fraction.
See more: How Big Is A Quart Of Paint, What Size Is A Quart Of Paint
Multiply the entirety number component by the denominator:
3 × 5 = 15
Add the to the numerator:
15 + 2 = 17
Then write that result above the denominator:
We can do the numerator in one go:
Example: convert 219 come an not correct fraction.
Are not correct Fractions poor ?
NO, castle aren"t bad!
For mathematics they are actually better than mixed fractions. Since mixed fractions have the right to be confusing when we write them in a formula: should the two components be added or multiplied?
|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, for everyday use, civilization understand combined fractions better.
Example: the is simpler to speak "I ate 214 sausages", than "I ate 94 sausages"
For Mathematics: not correct FractionsFor day-to-day Use: combined Fractions
development to Fractions appropriate Fractions combined Fractions including Fractions Subtracting fractions Multiplying Fractions splitting Fractions fountain Index