Question

How do you write $ 36/24 $ as a decimal?

Answer 1

Hint: Here first of all we will take the given fraction, and will remove the common factors from the numerator and the denominator. Then from the equivalent fraction will convert it into the decimal number.

Complete step by step solution:
Take the given expression: $ \dfrac{{36}}{{24}} $
Find the factors of the terms in the above equation.
 $ \dfrac{{36}}{{24}} = \dfrac{{12 \times 3}}{{12 \times 2}} $
Common terms from the numerator and the denominator cancel each other. Therefore remove from the numerator and the denominator cancel each other.
 $ \dfrac{{36}}{{24}} = \dfrac{3}{2} $
To convert the given expression in the decimal form, make the denominator in the form tens. Therefore, multiply the above fraction with . Fraction is the term expressed in terms of the ratio of the numerator upon the denominator.
 $ \dfrac{{36}}{{24}} = \dfrac{{3 \times 5}}{{2 \times 5}} $
Simplify the above equation.
 $ \dfrac{{36}}{{24}} = \dfrac{{15}}{{10}} $
To get the resultant value in the form of the decimal, move one point from right to the left hand side of the equation since we have a denominator of ten.
 $ \dfrac{{36}}{{24}} = 1.5 $
This is the required solution.
So, the correct answer is “ 1.5”.

Note: Convert the decimal point in the form of fraction. To convert fraction in to decimal, place the decimal number over its place value. For example, for $ \dfrac{2}{{10}} $ the two is upon the ten so move one digit from the right hand side of the equation which gives $ 0.2 $ and similarly for $ \dfrac{{25}}{{100}} $ as there is hundred in the denominator move two digits after from right hand side of the term which gives value as $ 0.25 $ .