Answer

Verified

347.4k+ views

**Hint**: Given is a decimal number. We are asked to express this number in the form of percent and fraction or mixed number. Now first we will convert it into percent by multiplying it by 100. Then it comes to express it as a fraction or as they mentioned mixed numbers. For that we will remove the decimal and express it in simplest form.

**:**

__Complete step-by-step answer__I.Given that,

2.4 is the number given.

Percent form:

In order to write in this form we just know that the number is to be multiplied by 100 and it can be written as percent.

So we can write this as,

\[

= 2.4 \times 100 \\

= 240\% \;

\]

This shows that it is 240%.

II.Fraction form:

Now we will remove the decimal from the fraction above, by multiplying the numerator and denominator by 10

\[ = \dfrac{{2.4 \times 10}}{{10}}\]

On multiplying,

\[ = \dfrac{{24}}{{10}}\]

Now to write this in simplest form we will need to find the HCF of numerator and denominator.

Factors of 24 are 1,2,3,4,6,8,12,24.

Factors of 10 are 1,2,5,10.

Now the common factors are 1,2.

And thus the HCF is 2. Now divide the N and D by 2 we get,

\[ = \dfrac{{12}}{5}\]

Thus this is the fraction form. And if we observe that this is the improper fraction form. So we can write it in mixed fraction form by dividing the numerator by the number in the denominator. So on dividing 12 by 5 we get 2 as remainder.

As we know mixed fraction is written as, \[quotient\dfrac{{remainder}}{{divisor}}\]

So the number will be, \[\dfrac{{12}}{5} = 2\dfrac{2}{5}\]

**Note**: Note that we have expressed this fraction as a mixed number because the fraction is an improper fraction such that the denominator is smaller than the numerator. So we can express this in mixed fraction form. Also note that here coincidently the quotient and remainder are same so don’t get confused. But in any other case you should write them in their respective places.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

How many crores make 10 million class 7 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths