Answer
Verified
392.4k+ views
Hint:
In this question we have to convert the mixed fraction into a percent, first we have to convert the given mixed fraction into fraction, then convert the fraction into its equivalent decimal number, then the decimal number must be multiplied by 100, then we will get the required percent.
Complete step by step solution:
Given mixed fraction is $4\dfrac{1}{5}$,
Now convert the given fraction to an improper fraction, by converting the numerator will become,
$ \Rightarrow \ 4 \times 5 + 1$,
Now multiply the terms as multiplication should be done first and then add,
$ \Rightarrow 20 + 1 = 21$,
Now the fraction will be equal to,
$ \Rightarrow \dfrac{{21}}{5}$,
Now by dividing the numerator by denominator, we get,
$\left. { \Rightarrow 5} \right)21\left( 4 \right..2$
$\underline {20} $
$10$
$\underline {10} $,
$0$
So quotient is 4.2, when we divide 21 by 5,
$ \Rightarrow \dfrac{{21}}{5} = 4.2$,
The decimal number will be 4.2,
Now multiply the decimal number with 100, we get,
$ \Rightarrow 4.2 \times 100 = \dfrac{{42}}{{10}} \times 100 = 420\% $,
So, the equivalent percent is 420%.
$\therefore $ The equivalent percent for the given fraction $4\dfrac{1}{5}$ will be equal to $420\% $.
Note:
Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator. It shows the total divisible number of equal parts the whole into or the total number of equal parts which are there in a collection.
Fraction can be represented by $\dfrac{{{\text{numerator}}}}{{{\text{denominator}}}}$,
The percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100. A percentage is a number that is represented as a fraction of 100.
In this question we have to convert the mixed fraction into a percent, first we have to convert the given mixed fraction into fraction, then convert the fraction into its equivalent decimal number, then the decimal number must be multiplied by 100, then we will get the required percent.
Complete step by step solution:
Given mixed fraction is $4\dfrac{1}{5}$,
Now convert the given fraction to an improper fraction, by converting the numerator will become,
$ \Rightarrow \ 4 \times 5 + 1$,
Now multiply the terms as multiplication should be done first and then add,
$ \Rightarrow 20 + 1 = 21$,
Now the fraction will be equal to,
$ \Rightarrow \dfrac{{21}}{5}$,
Now by dividing the numerator by denominator, we get,
$\left. { \Rightarrow 5} \right)21\left( 4 \right..2$
$\underline {20} $
$10$
$\underline {10} $,
$0$
So quotient is 4.2, when we divide 21 by 5,
$ \Rightarrow \dfrac{{21}}{5} = 4.2$,
The decimal number will be 4.2,
Now multiply the decimal number with 100, we get,
$ \Rightarrow 4.2 \times 100 = \dfrac{{42}}{{10}} \times 100 = 420\% $,
So, the equivalent percent is 420%.
$\therefore $ The equivalent percent for the given fraction $4\dfrac{1}{5}$ will be equal to $420\% $.
Note:
Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator. It shows the total divisible number of equal parts the whole into or the total number of equal parts which are there in a collection.
Fraction can be represented by $\dfrac{{{\text{numerator}}}}{{{\text{denominator}}}}$,
The percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100. A percentage is a number that is represented as a fraction of 100.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Advantages and disadvantages of science
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
10 examples of evaporation in daily life with explanations
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
How do you graph the function fx 4x class 9 maths CBSE
Difference Between Plant Cell and Animal Cell