Question

Express in simplest form.
 \[100:10\].

Answer 1

Hint: In order to solve the question given above, you need to understand what is ratio? A ratio expresses the number of times one number appears in another. In a bowl of fruit, for example, if there are eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
Now, follow the steps mentioned below to simplify the ratio:
First of all, change the ratio in fraction form.
After this, write down the numerator and denominator of the factors.
Determine the largest factor that the two have in common.
The greatest common factor is used to divide the numerator and denominator.
Write down the diminished fraction. This is your desired answer.

Complete step-by-step answer:
We are given the ratio: \[100:10\]
In fraction form, this can be written as: \[\dfrac{{100}}{{10}}\]
Now, as we can see that \[10\] and \[100\] are both multiples of \[10\].
We know that, \[10 \times 1 = 10\] and \[10 \times 10 = 100\].
So, as fractions \[\dfrac{{100}}{{10}}\] can be written as \[\dfrac{{10}}{1}\].
This means that \[100:10\]is equal to \[\dfrac{{100}}{{10}}\] which in turn is equal to \[\dfrac{{10}}{1}\].
So, \[100:10 = \dfrac{{10}}{1}\].
So, our final answer that is the simplest form of \[100:10\] is \[\dfrac{{10}}{1}\].

Note: While solving questions similar to the one given above, remember that ratios, like fractions, can be fully simplified. To make a ratio easier to understand, divide all of the numbers in the ratio by the same number until they can no longer be divided. You can directly perform the simplification, although For the sake of more clarity you can first convert the ratio into a fraction.