AnImproper fraction has a optimal number larger than (or same to) the bottom number.
You are watching: Write 7/4 as a mixed number
that is normally "top-heavy"
See just how the peak number is bigger than (or equal to) the bottom number? That makes it an improper Fraction, (but there is naught wrong around Improper Fractions).
Three types of Fractions
There room three species of fraction:
A portion (such as 7/4) has actually two numbers:
The peak number (the Numerator) is the variety of parts we have. The bottom number (the Denominator) is the variety of parts the whole is split into.
|The numerator is less than the denominator|
|Examples: 1/3, 3/4, 2/7|
|The molecule is higher than (or same to) the denominator|
|Examples: 4/3, 11/4, 7/7|
|A entirety number and also proper portion together|
|Examples: 1 1/3, 2 1/4, 16 2/5|
So an improper portion is a portion where the height number (numerator) is better than or same to the bottom number (denominator): it is top-heavy.
Can it is in Equal
What about when the numerator is same to the denominator? For example 4/4 ?
Well the is the exact same as a whole, but it is created as a fraction, for this reason most human being agree that is a form of improper fraction.
Improper fountain or blended Fractions
We can use either an improper portion or a mixed portion to display the exact same amount.
For example 134 = 74, as presented here:
Converting Improper fractions to mixed FractionsTo convert an improper fraction to a blended fraction, follow these steps:
|Divide the numerator by the denominator.Write down the entirety number answerThen write down any type of remainder above the denominator.|
Example: convert 114 to a blended fraction.
11 ÷ 4 = 2 v a remainder the 3
Write down the 2 and also then create down the remainder (3) above the denominator (4).
That example can it is in written favor this:
Example: transform 103 to a blended fraction.
Converting combined Fractions come Improper FractionsTo convert a mixed portion to an improper fraction, follow these steps:
|Multiply the entirety number component by the fraction"s denominator.Add the to the numeratorThen create the an outcome on height of the denominator.|
Example: transform 325 come an wrong fraction.
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Multiply the totality number component by the denominator:
3 × 5 = 15
Add that to the numerator:
15 + 2 = 17
Then create that an outcome above the denominator:
We can do the molecule in one go:
Example: convert 219 come an wrong fraction.
Are not correct Fractions negative ?
NO, castle aren"t bad!
For math they room actually better than combined fractions. Since mixed fractions deserve to be confusing as soon as we create them in a formula: should the two components be included 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, because that everyday use, world understand mixed fractions better.
Example: the is simpler to speak "I ate 214 sausages", 보다 "I ate 94 sausages"
For Mathematics: not correct FractionsFor everyday Use: blended Fractions
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