Question

Express the ratio 45:108 in its simplest form

Answer 1

Hint: We are given a ratio and to write it in the simplest form we need to divide both the numerator and the denominator by their common factor.

Complete step-by-step answer:
We are given a ratio 45 : 108
We can write the given ratio as $\dfrac{{45}}{{108}}$
We know that both 45 and 108 are multiples of 9
So we can write it as $\dfrac{{9*5}}{{9*12}}$
Cancelling we get $\dfrac{5}{{12}}$
There are no common factors of 5 and 12
Hence it can be simplified further
Therefore the simplest form of the ratio is 5 : 12.

Note: A ratio compares two things in the same unit of measure. It doesn't matter what that unit of measure is - pounds, cubic centimeters, gallons, newton-meters - it matters only that the two are measured in the same units
You can express a ratio either in narrative form or in symbolic mathematical notation. You can express the ratio as "the ratio of A to B," "A is to B," "A : B" or the quotient of A divided by B.