Question

2:3 in percentage is $66\dfrac{2}{3}\% $ .
If true then enter 1 and if false then enter 0.

Answer 1

Hint- Whenever we have to convert the ratio \[a:b\] in percentage, we can express it as $\dfrac{a}{b} \times 100\% $ , use this simple conversion method to reach the answer.

Complete step-by-step answer:
Given ratio is $2:3$
We have to convert this ratio into percentage.
As we know that if the ratio is of the form \[a:b\] then percentage of this ratio can be expressed as $\dfrac{a}{b} \times 100\% $
By comparing the given ratio with \[a:b\] , we get:
a = 2 and b = 3
Now, let us substitute the value of a and b in above formula we get:
 Percentage:
$
   = \dfrac{a}{b} \times 100\% \\
   = \dfrac{2}{3} \times 100\% \\
 $
Further simplifying it, we obtain
$
   = \dfrac{{200}}{3}\% \\
   = 66\dfrac{2}{3}\% \\
 $
Hence, the given statement is true, so we enter 1.

Note- Ratios are expressed majorly based on fractions. When a fraction is represented in the form of a: b, then it is a ratio. Here, “a” and “b” are any two integers. Students must remember the relation between the ratio and percentage in order to solve such questions.