AnImproper portion has a top number larger than (or equal to) the bottom number.
You are watching: What is 7/4 as a mixed number
that is commonly "top-heavy"
More Examples
| 32 | 73 | 1615 | 1515 | 1005 |
See just how the peak number is bigger 보다 (or equal to) the bottom number? That provides it an not correct Fraction, (but there is naught wrong around Improper Fractions).
Three types of Fractions
There are three species of fraction:
Fractions
A fraction (such as 7/4) has actually two numbers:
NumeratorDenominator
The optimal number (the Numerator) is the variety of parts we have. The bottom number (the Denominator) is the number of parts the totality is separated into.
| The molecule is much less than the denominator | |
| Examples: 1/3, 3/4, 2/7 | |
| The numerator is better than (or same to) the denominator | |
| Examples: 4/3, 11/4, 7/7 | |
| A entirety 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 equal to the bottom number (denominator): the is top-heavy.
| 44 |
Can be Equal
What around when the numerator is equal to the denominator? For example 4/4 ?
Well the is the exact same as a whole, however it is composed as a fraction, therefore most human being agree it is a type of not correct fraction.
Improper fractions or combined Fractions
We have the right to use either an improper fraction or a mixed portion to present the same amount.
For example 134 = 74, as shown here:
| 134 | 74 | |
 | = |
Converting Improper fractions to blended Fractions
To convert an improper portion to a mixed fraction, follow these steps:| Divide the numerator by the denominator.Write under the whole number answerThen compose down any type of remainder above the denominator. | |
Example: convert 114 to a mixed fraction.
Divide:
11 ÷ 4 = 2 v a remainder that 3
Write under the 2 and then create down the remainder (3) above the denominator (4).
Answer:
2 34
That instance can it is in written choose this:
Example: transform 103 come a combined fraction.
Answer:
3 13
Converting combined Fractions come Improper Fractions
To convert a mixed portion to an not correct fraction, follow these steps:| Multiply the entirety number part by the fraction"s denominator.Add that to the numeratorThen compose the result on height of the denominator. | |
Example: transform 325 to an wrong fraction.
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Multiply the totality number part by the denominator:
3 × 5 = 15
Add the to the numerator:
15 + 2 = 17
Then create that result above the denominator:
175
We deserve to do the molecule in one go:
Example: convert 219 to an not correct fraction.
Are not correct Fractions negative ?
NO, they aren"t bad!
For math they are actually better than mixed fractions. Due to the fact that mixed fractions deserve to be confusing once we create them in a formula: should the two parts 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, human being understand mixed fractions better.
Example: the is simpler to speak "I ate 214 sausages", 보다 "I ate 94 sausages"
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