Question

What is another way of writing the ratio \[14:1\] ?

Answer 1

Hint: In the given question, we are required to represent the provided ratio in a different way. Generally, ratios are used in order to compare two things of similar type such as weight of two persons, depth of two valleys, height of two trees etc. A ratio can be represented in the form of equivalent ratios by multiplying or dividing both the quantities of ratio by the same number. A ratio is similar to a fraction having a numerator and denominator.

Complete step-by-step answer:
When a ratio is expressed using the symbol “:” between the two quantities, the first term is called the antecedent and the second term that is written after “:” is called consequent.
If \[m:n\] is the ratio given to us, then m is the antecedent and n is the consequent.
In the given problem, we have to represent the ratio \[14:1\] in a different way.
In order to represent the ratio in a different way, we multiply the antecedent and consequent by the same number so as to form an equivalent ratio of the given ratio.
So, in the ratio \[14:1\], $14$ is the antecedent and $1$ is the consequent.
Hence, we multiply both the antecedent and consequent by $2$. So, we get,
\[ \Rightarrow 2 \times 14:2 \times 1\]
Carrying out the calculations, we get,
\[ \Rightarrow 28:2\]
Hence, another way of writing the ratio \[14:1\] is \[28:2\].
So, the correct answer is “\[28:2\].”.

Note: Ratios are just a way of writing compared quantities. Just like fractions, we can calculate the equivalent ratios of a given ratio by multiplying both the quantities being compared by the same number so as to keep the ratio unchanged. Ratios do not have any units and hence are dimensionless. We can multiply both the quantities of the given ratio \[14:1\] by any number to create many equivalent ratios.