Question

What is $10.81$ divided by $2.3$?

Answer 1

Hint: In the question two decimal values are given. Dividing two decimal values can be done by changing the decimal values into fractions. To move the decimal point one place to the right side, we have to multiply it by 10. Using this concept along with the basic division operation, we will solve this problem.

Complete step by step answer:
 We have to find the answer when 10.81 is divided by 2.3.
We can write 10.81 divided by 2.3 in division form as
\[ = 10.81 \div 2.3\]
We will remove the decimal by multiplying 100 and 10 with both numerator and denominator with 10.81 and 2.3 respectively.
$ = \dfrac{{1081}}{{100}} \div \dfrac{{23}}{{10}}$
We know that fractions will reciprocate when division sign changes to multiplication.
$ = \dfrac{{1081}}{{100}} \times \dfrac{{10}}{{23}}$
We can write this as
$=\dfrac{1081}{23} \times \dfrac{1}{10}$
We will find the value of quotient when 1081 is divided by 23, we get
 $=\dfrac{47}{10}$ since $ 1081 \div 23 = 47$
We know the property of division with power of 10
$ = 4.7$
Hence, $10.81$ is divided by $2.3$ is equal to $4.7$

Note:
We can also solve this by another method. If we have two decimal numbers, we multiply the numerator and denominator by a number that gives us the whole number in the denominator when we multiply them together. As a result, the calculation gets simpler.