Answer
384.3k+ views
Hint: According to the question, we have to simplify the value of given expression $\dfrac{{10.24 \div 1.6}}{{20 - 19.8}}$ So, first of all we have to simplify both numerator and denominator by using division and subtraction respectively of given expression $\dfrac{{10.24 \div 1.6}}{{20 - 19.8}}$ and then we get a fraction in the form of $\dfrac{a}{b}$.
So, first of all we have to understand the division and subtraction rule of any numbers which is mentioned below.
Division rule: In the process of division, the number which is divided is called dividend. The number which is dividing is called the divisor. The number of times the divisor divides dividend is quotient and the number left over after division is called remainder. Division is defined by divide sign $\left( \div \right)$.
Subtraction rule: Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. The result of a subtraction is called a difference. Subtraction is defined by the Minus sign $\left( - \right)$.
Now, we have to simplify that fraction $\left( {\dfrac{a}{b}} \right)$ to obtain the desired value.
Complete step by step solution:
Step 1: As given in the question the expression is $\dfrac{{10.24 \div 1.6}}{{20 - 19.8}}$
So, first of all we have to simplify both the numerator and denominator of the expression mentioned just above by using division and subtraction respectively.
Step 2: In this step we have to divide the terms on the numerator which can be divided easily Hence,
$ \Rightarrow \dfrac{{6.4}}{{20 - 19.8}}$
Step 3: Now, we have to subtract the terms which can be subtracted easily hence, on solving the expression as obtained in the solution step 2.
\[ \Rightarrow \dfrac{{6.4}}{{0.2}}\]
Step 4: Now, to obtain the solution we just have to divide the number in the numerator by the denominator hence,
$ \Rightarrow 32$
Hence, the simplified value of the given expression $\dfrac{{10.24 \div 1.6}}{{20 - 19.8}}$ is $32$.
Hence, the option (D) is correct.
Note: It is necessary to know about the division and subtraction method which is mentioned in the solution hint to solve the given expression in the question.
It is necessary to solve the fraction carefully to obtain the correct answer.
So, first of all we have to understand the division and subtraction rule of any numbers which is mentioned below.
Division rule: In the process of division, the number which is divided is called dividend. The number which is dividing is called the divisor. The number of times the divisor divides dividend is quotient and the number left over after division is called remainder. Division is defined by divide sign $\left( \div \right)$.
Subtraction rule: Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. The result of a subtraction is called a difference. Subtraction is defined by the Minus sign $\left( - \right)$.
Now, we have to simplify that fraction $\left( {\dfrac{a}{b}} \right)$ to obtain the desired value.
Complete step by step solution:
Step 1: As given in the question the expression is $\dfrac{{10.24 \div 1.6}}{{20 - 19.8}}$
So, first of all we have to simplify both the numerator and denominator of the expression mentioned just above by using division and subtraction respectively.
Step 2: In this step we have to divide the terms on the numerator which can be divided easily Hence,
$ \Rightarrow \dfrac{{6.4}}{{20 - 19.8}}$
Step 3: Now, we have to subtract the terms which can be subtracted easily hence, on solving the expression as obtained in the solution step 2.
\[ \Rightarrow \dfrac{{6.4}}{{0.2}}\]
Step 4: Now, to obtain the solution we just have to divide the number in the numerator by the denominator hence,
$ \Rightarrow 32$
Hence, the simplified value of the given expression $\dfrac{{10.24 \div 1.6}}{{20 - 19.8}}$ is $32$.
Hence, the option (D) is correct.
Note: It is necessary to know about the division and subtraction method which is mentioned in the solution hint to solve the given expression in the question.
It is necessary to solve the fraction carefully to obtain the correct answer.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)