Question

How do you evaluate across $\left( {\dfrac{1}{2}} \right)$ ?

Answer 1

Hint: Given expression is the fraction. Here we will convert the given expression in the form of a decimal point. First of all we will convert the denominator in the base of tens.

Complete step-by-step answer:
Fractions are the part of the whole. Generally it represents any number of equal parts and it describes the part from a certain size and Fractions are expressed as the ratio of two numbers arranged in the form of numerator upon the denominator.
Take the given fraction $\left( {\dfrac{1}{2}} \right)$
Find the equivalent fraction and make the denominator in base ten as the given number in the denominator is one digit and it is $2$ . Find the multiple of $2$ and get $10$. As we know that $2 \times 5 = 10$
Therefore multiply and divide the fraction with
$\left( {\dfrac{1}{2}} \right) = \dfrac{{1 \times 5}}{{2 \times 5}}$
Simplify the above expression –
$\left( {\dfrac{1}{2}} \right) = \dfrac{5}{{10}}$
Since, the denominator is having $10$shift one digit from right and place the decimal point.
$\left( {\dfrac{1}{2}} \right) = 0.5$

Note: Always convert the given number in the prime numbers and then find the common factors in the numerator and the denominator and then remove them. In case there are no common factors in the numerator and the denominator directly place the decimal point. Remember to convert decimal into fraction, place the decimal number over its place value. For example, for $0.7$ the seven is in the tenths place so that we place $7$ under $10$ to create the equivalent fraction i.e. $\dfrac{7}{{10}}$ and similarly if there is two digits after decimal point, for $0.07$ the seven is in the hundredths place so that we place $7$ over $100$ to create the equivalent fraction i.e. $\dfrac{7}{{100}}$.