Question

How do you express the ratio \[\mathbf{76}:\mathbf{38}\] in the simplest form?

Answer 1

Hint: To convert a ratio into its simplest form we should simply convert it into a fraction and simplify the numerator and the denominator. It is always better to look at the denominator first when we need to convert a fraction into a decimal.

Complete Step By Step Solution:
According to the given information, we need to turn \[\mathbf{76}:\mathbf{38}\] to its simplest form possible.
One possible way to rewrite \[\mathbf{76}:\mathbf{38}\] as $\dfrac{76}{38}$ .
On dividing both the numbers, we get
 $\Rightarrow \dfrac{38}{19}$
 $\Rightarrow \dfrac{2}{1}$
We got $\dfrac{2}{1}$ which simply can be written as $2:1$.

Hence, \[\mathbf{76}:\mathbf{38}\] in the simplest form can be written as $2:1$.

Note:
It is always better to convert the ratios into a fraction as they are easier to simplify. After converting into fractions we can simply then divide the numerator by the denominator and get the simplest form of the fraction and then can convert it back into a ratio.