AnImproper portion has a top number larger than (or equal to) the bottom number.

You are watching: 7/4 as a mixed number

the is typically "top-heavy"

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See exactly how the height number is bigger than (or equal to) the bottom number? That provides it an wrong Fraction, (but there is nothing wrong around Improper Fractions).

Three species of Fractions

There are three varieties of fraction:



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


The top number (the Numerator) is the variety of parts us have. The bottom number (the Denominator) is the number of parts the whole is divided into.

Proper Fractions:Improper Fractions:Mixed Fractions:
The numerator 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 also proper portion together
Examples: 1 1/3, 2 1/4, 16 2/5

Improper Fraction

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


Can be Equal

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

Well the is the same as a whole, yet it is created as a fraction, so most world agree that is a type of wrong fraction.

Improper fractions or mixed Fractions

We have the right to use either an improper portion or a mixed portion to display the exact same amount.

For instance 134 = 74, as displayed here:


Converting Improper fountain to blended Fractions

To transform an improper fraction to a blended fraction, follow this steps:
Divide the numerator by the denominator.Write down the entirety number answerThen create down any remainder over the denominator.

Example: convert 114 come a combined fraction.


11 ÷ 4 = 2 v a remainder that 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 prefer this:


Example: transform 103 come a mixed fraction.



3 13

Converting blended Fractions come Improper Fractions

To transform a mixed portion to an not correct fraction, follow this steps:
Multiply the whole number component by the fraction"s denominator.Add that to the numeratorThen create the an outcome on peak of the denominator.

Example: transform 325 to an wrong fraction.

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Multiply the whole number part by the denominator:

3 × 5 = 15

Add that to the numerator:

15 + 2 = 17

Then write that an outcome above the denominator:


We deserve to do the numerator in one go:


Example: transform 219 to an wrong fraction.


Are improper Fractions poor ?

NO, castle aren"t bad!

For math they are actually better than blended fractions. Due to the fact that 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, human being understand mixed fractions better.

Example: it is easier to say "I ate 214 sausages", than "I ate 94 sausages"

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