4/3 As An Improper Fraction

Fractions are often referred to as numbers between numbers. Fractions are numerical values that represent a part or a portion of a whole. For example, await at the pizza beneath.

This pizza has been cut into 4 equal parts. So each piece of the pizza represents 1 out of 4 equal parts. So mathematically, we can represent each piece equally $\frac{one}{4}$. This number is called a fraction.

The number below the bar that represents the total number of equal parts that the whole is divided into is called the denominator.

And the number on the top that represents the number of equal parts we are considering is called the numerator.

What is an Improper Fraction?

Before discussing improper fraction, we first need to understand proper fractions.

Proper fractions: Fractions for which the numerator is less than the denominator are chosen proper fractions. For instance, if y'all order a pizza and cut it into 4 equal parts, and then eat one slice out of it, the remaining pizza tin can be expressed as $\frac{3}{4}$ of the whole 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 united states take an example of improper fraction, imagine you lot social club a pizza that has four slices. Your friends eat all 4 slices. And you realize you didn't get any. You lot guild some other pizza. After eating 1 slice from it, you realize you are done eating. And then, how much of the pizza did your friends and you lot have in all?

Your friends first had all iv slices of 1 pizza, and and so you had 1 slice of the aforementioned size from the second pizza.

So, the total pizza eaten is $\frac{v}{4}$ slices of pizza. And that's an improper fraction with a numerator greater than the denominator.

Example of improper fraction in real life

Mixed numbers: Mixed numbers are just another way of writing fractions greater than a whole. A mixed number has a whole part and a partial part, which is actually a proper fraction.

Let's take the same case from above. You and your friends ate ane whole pizza and one-4th of a pizza. As a mixed fraction, we can write this equally $one$ and $\frac{ane}{iv}$ of a pizza or $one\frac{ane}{4}$ of a pizza.

Fraction Conversion

Improper Fraction to Mixed Number

An improper fraction tin can be converted to a mixed fraction and a mixed fraction can be converted to an improper fraction.

Let's say we want to convert the fraction $\frac{7}{2}$ into a mixed number.

Footstep 1: Find the quotient and the remainder by dividing the numerator with the denominator.

Footstep 2: The quotient will be the number of wholes for the mixed number. The remainder volition be the numerator of the fractional part and the denominator will remain the same.

And so, the mixed number grade of $\frac{7}{2}$volition be:

Mixed Number to Improper Fraction

Any mixed number tin can be converted into an improper fraction.

Let'southward say we desire to convert the mixed number $1\frac{three}{4}$ into an improper fraction.

Stride one: Multiply the denominator with the whole. And then add the numerator to the product.

Converting mixed number to improper fraction

Step 2: Keep the denominator same and solve for the numerator.

Example of mixed number as improper fraction

Therefore, the improper fraction for the mixed number $1\frac{3}{4}$ volition be $\frac{7}{iv}$.

Solved Examples

Example 1. Identify the improper fractions:

$\frac{i}{5}$, $2\frac{7}{v}$, $\frac{iii}{two}$, $\frac{1}{3}$, $\frac{five}{4}$, $6 \frac{1}{vi}$

Solution: $\frac{two}{3}$ and $\frac{v}{4}$ are improper fractions as the value of the numerator is greater than the value of the denominator for both of these fractions.

Case 2. Write $4\frac{ii}{7}$ as an improper fraction.

Solution: Converting $iv\frac{2}{seven}$ into an improper fraction,

$4 \frac{two}{7}$ = $\frac{(7\times4) + 2}{7}$ = $\frac{xxx}{vii}$

Example 3. Write $ii\frac{9}{6}$ as an improper fraction.

Solution: While dividing 29 past vi, the quotient and rest are 4 and v respectively.
So $\frac{29}{6}$ written as a mixed number is $ 4 \frac{5}{6}$ .

Converting $3\frac{1}{v}$ to an improper fraction:

Practice Problems

What are Improper Fractions? Meaning, Definition, Examples

Attend this quiz & Test your knowledge.

Mixed fraction

Improper fraction

Proper fraction

Unit of measurement fraction

Correct answer is: Improper fraction
Since the value of the numerator is greater than the denominator, the given fraction is an improper fraction.

$\frac{xviii}{5}$

$\frac{16}{5}$

$\frac{1}{15}$

$\frac{14}{five}$

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

$\frac{2}{vii}$

$\frac{11}{22}$

$\frac{14}{15}$

$\frac{12}{11}$

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

$2\frac{1}{ii}$

$ane\frac{1}{2}$

$one\frac{two}{4}$

None of the above

Right answer is: $2\frac{1}{ii}$
Dividing 5 by ii, we become the quotient and the rest as ii and 1 respectively.
The quotient becomes the whole number, the residue becomes the numerator of the fractional office and the denominator remains the same.

Frequently Asked Questions

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

Improper fractions are easy for arithmetic operations of addition, subtraction, multiplication, and partition. Mixed fractions are easier to understand and represent in figures.

Why are fractions important?

Every quantity cannot be expressed in whole numbers. Fractions are employed to indicate a certain part or portion of any item. They are a fundamental concept in computation and applied in algebra, ratios, and several other concepts in mathematics and other fields.

How are decimals related to fractions?

Fractions and decimals are both ways to represent quantities or numbers. Decimals are nothing only a unlike mode to represent fractions whose denominator is 10 or powers of 10. For case, the fraction $\frac{15}{ten}$ in decimal form is 1.five.