AnImproper fraction has a optimal number larger than (or equal to) the bottom number.

You are watching: What is 7/4 as a mixed number?

the is normally "top-heavy"

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See how the top number is bigger than (or same to) the bottom number? That makes it an not correct Fraction, (but over there is nothing wrong around Improper Fractions).

Three species of Fractions

There space three types of fraction:



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


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

Proper Fractions:Improper Fractions:Mixed Fractions:
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 totality number and proper portion together
Examples: 1 1/3, 2 1/4, 16 2/5

Improper Fraction

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


Can be Equal

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

Well it is the very same as a whole, but it is written as a fraction, therefore most civilization agree that is a form of not correct fraction.

Improper fractions or combined Fractions

We deserve to use either an improper fraction or a mixed fraction to display the exact same amount.

For instance 134 = 74, as displayed here:


Converting Improper fountain to mixed Fractions

To convert an improper fraction to a combined fraction, follow these steps:
Divide the numerator by the denominator.Write under the entirety number answerThen create down any remainder over the denominator.

Example: transform 114 to a mixed fraction.


11 ÷ 4 = 2 v a remainder of 3

Write under the 2 and then compose down the remainder (3) over the denominator (4).


2 34

That example can it is in written choose this:


Example: transform 103 to a combined fraction.



3 13

Converting combined Fractions to Improper Fractions

To convert a mixed portion to an wrong fraction, follow these steps:
Multiply the totality number component by the fraction"s denominator.Add that to the numeratorThen compose the an outcome on height of the denominator.

Example: convert 325 come 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 write that result above the denominator:


We can do the numerator in one go:


Example: transform 219 come an not correct fraction.


Are not correct Fractions poor ?

NO, lock aren"t bad!

For mathematics they room actually better than mixed fractions. Because mixed fractions have the right to be confusing as soon as we compose them in a formula: should the two parts 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, for everyday use, people understand mixed fractions better.

Example: that is simpler to to speak "I ate 214 sausages", than "I ate 94 sausages"

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