# What are Improper Fractions? Meaning, Definition, Examples, Facts

Fractions are frequently referred to as numbers between numbers. Fractions are numeral values that represent a separate or a fortune of a whole. For example, look at the pizza below . This pizza has been cut into 4 equal parts. so each objet d’art of the pizza represents 1 out of 4 equal parts. So mathematically, we can represent each piece as $\frac { 1 } { 4 }$. This number is called a fraction .
The number below the measure that represents the entire total of equal parts that the solid is divided into is called the denominator .
And the count on the top that represents the numeral of equal parts we are considering is called the numerator. ## What is an Improper Fraction?

Before discussing improper fraction, we first base need to understand proper fractions .
proper fractions : Fractions for which the numerator is less than the denominator are called proper fractions. For exemplar, if you order a pizza and cut it into 4 equal parts, and then eat one slice out of it, the remaining pizza can be expressed as $\frac { 3 } { 4 }$ of the unharmed pizza. here, since 3 is less than 4, the fraction is a proper fraction . improper fractions : Improper fractions are defined as fractions for which the numerator is greater than the denominator. Let us take an exercise of improper fraction, think you rate a pizza that has 4 slices. Your friends eat all 4 slices. And you realize you didn ’ t get any. You order another pizza. After eating 1 slice from it, you realize you are done eat. indeed, how much of the pizza did your friends and you have in all ?
Your friends beginning had all 4 slices of 1 pizza, and then you had 1 slice of the same size from the irregular pizza .
thus, the total pizza corrode is $\frac { 5 } { 4 }$ slices of pizza. And that ’ s an improper divide with a numerator greater than the denominator . interracial numbers : assorted numbers are equitable another room of writing fractions greater than a whole. A desegregate number has a whole contribution and a fractional separate, which is actually a proper divide .
Let ’ s take the lapp exercise from above. You and your friends ate one wholly pizza and one-fourth of a pizza. As a mix fraction, we can write this as $1$ and $\frac { 1 } { 4 }$ of a pizza or $1\frac { 1 } { 4 }$ of a pizza . ## Fraction Conversion

Improper Fraction to Mixed Number
An improper fraction can be converted to a desegregate fraction and a interracial fraction can be converted to an improper fraction .
Let ’ s say we want to convert the fraction $\frac { 7 } { 2 }$ into a desegregate number .
mistreat 1 : Find the quotient and the remainder by dividing the numerator with the denominator . pace 2 : The quotient will be the number of wholes for the mix phone number. The remainder will be the numerator of the fractional character and the denominator will remain the lapp .
so, the interracial number mannequin of $\frac { 7 } { 2 }$ will be : Mixed Number to Improper Fraction
Any mix count can be converted into an improper fraction .
Let ’ s say we want to convert the shuffle act $1\frac { 3 } { 4 }$ into an improper fraction .
measure 1 : Multiply the denominator with the unharmed. And then add the numerator to the product . step 2 : Keep the denominator same and solve for the numerator . therefore, the improper divide for the desegregate number $1\frac { 3 } { 4 }$ will be $\frac { 7 } { 4 }$ .

## Solved Examples

Example 1. Identify the improper fractions:
$\frac { 1 } { 5 }$, $2\frac { 7 } { 5 }$, $\frac { 3 } { 2 }$, $\frac { 1 } { 3 }$, $\frac { 5 } { 4 }$, $6 \frac { 1 } { 6 }$
Solution: $\frac { 2 } { 3 }$ and $\frac { 5 } { 4 }$ are improper fractions as the measure of the numerator is greater than the value of the denominator for both of these fractions .
Example 2. Write $4\frac { 2 } { 7 }$ as an improper fraction.
Solution: Converting $4\frac { 2 } { 7 }$ into an improper fraction ,
$4 \frac { 2 } { 7 }$ = $\frac { ( 7\times4 ) + 2 } { 7 }$ = $\frac { 30 } { 7 }$
Example 3. Write $2\frac { 9 } { 6 }$ as an improper fraction.
Solution: While dividing 29 by 6, the quotient and end are 4 and 5 respectively.
so $\frac { 29 } { 6 }$ written as a blend number is $4 \frac { 5 } { 6 }$ .
Converting $3\frac { 1 } { 5 }$ to an improper fraction :

## What are Improper Fractions? Meaning, Definition, Examples

Attend this quiz & Test your cognition.

1

### What type of fraction is $\frac{11}{4}$?

Mixed fraction Improper fraction Proper fraction unit fraction

Correct

Incorrect

Since the value of the numerator is greater than the denominator, the given fraction is an improper fraction.

2

### Write the mixed number $3\frac{1}{5}$ as an improper fraction.

$\frac { 18 } { 5 }$ $\frac { 16 } { 5 }$ $\frac { 1 } { 15 }$ $\frac { 14 } { 5 }$

Correct

Incorrect

Correct answer is: $\frac{16}{5}$
Converting $3\frac{1}{5}$ to an improper fraction:
$3\frac{1}{5}$ = $\frac{(5\times 3) + 1}{5}$ = $1\frac{6}{5}$

3

### Identify the improper fraction.

$\frac { 2 } { 7 }$ $\frac { 11 } { 22 }$ $\frac { 14 } { 15 }$ $\frac { 12 } { 11 }$

Correct

Incorrect

Correct answer is: $\frac{12}{11}$
The value of the numerator is greater than the value of the denominator in $\frac{12}{11}$. Therefore, it is an improper fraction.

4

### Convert $\frac{5}{2}$ into a mixed fraction.

$2\frac { 1 } { 2 }$ $1\frac { 1 } { 2 }$ $1\frac { 2 } { 4 }$ none of the above

Correct

Incorrect

Correct answer is: $2\frac{1}{2}$
Dividing 5 by 2, we get the quotient and the remainder as 2 and 1 respectively.
The quotient becomes the whole number, the remainder becomes the numerator of the fractional part and the denominator remains the same.

Which are easier for calculations: improper fractions or mixed fractions?

improper fractions are easy for arithmetic operations of addition, subtraction, generation, and division. desegregate fractions are easier to understand and represent in figures .
Why are fractions important?

Every quantity can not be expressed in hale numbers. Fractions are employed to indicate a certain depart or part of any detail. They are a fundamental concept in calculation and applied in algebra, ratios, and several other concepts in mathematics and early fields .
How are decimals related to fractions?

Fractions and decimals are both ways to represent quantities or numbers. Decimals are nothing but a different means to represent fractions whose denominator is 10 or powers of 10. For exemplar, the fraction $\frac { 15 } { 10 }$ in decimal form is 1.5 .

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