Question

The ratio \[3:8\] is equal to?

Answer 1

Hint: Here in this question, we have to find the equal value of the given ratio. To solve this, first we have to rewrite the given ratio in the form of fraction and later by multiplying a 100 to the resultant fraction and simplify using a basic arithmetic operation we get the required solution in the form of percentage.

Complete step by step solution:
A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.
Consider the given ratio
\[ \Rightarrow \,\,\,3:8\]
Now, we have to write a given ratio as a fraction.
In given ratio 3 is the antecedent which can take in numerator and 8 is the consequent which can take in denominator, then
\[ \Rightarrow \,\,\,\dfrac{3}{8}\]
Now, we have to find the equivalent value by converting the above fraction into the percentage.
To convert the fraction into percentage we multiply the fraction into 100 and then simplify i.e.,
\[ \Rightarrow \,\,\,\dfrac{3}{8} \times 100\,\]
On simplification, we have
\[ \Rightarrow \,\,\,0.375 \times 100\,\]
On multiplication, we get
\[ \Rightarrow \,\,\,37.5\% \]
Hence, the 3 is the \[37.5\% \] of 8.

Note:
The number can be simplified from one form to the other form. For the simplification of
number, we have some rule or method. By using the specific methods and rules we can convert the number. The fraction number has a numerator and denominator. The percentage is represented by the symbol %.