Question

The simplest form of 1.5: 2.5 is.

Answer 1

Hint: The sign of ratio in between two numbers depicts division with the left number as a numerator and the right number as denominator. Simple division of both numbers will help to get the most simplified form.

Complete Step-by-Step solution:
Given ration is
1.5: 2.5
Now we have to convert this ratio into simplest form
So let the simplest form be x: y.
$ \Rightarrow \dfrac{x}{y} = \dfrac{{1.5}}{{2.5}}$
Now multiply and divide by 10 in R.H.S of the above equation we have,
$ \Rightarrow \dfrac{x}{y} = \dfrac{{1.5 \times 10}}{{2.5 \times 10}} = \dfrac{{15}}{{25}}$
Now the factors of 15 is $\left( {5 \times 3} \right)$ and the factors of 25 is $\left( {5 \times 5} \right)$ so substitute these factors of 15 and 25 in the above equation we have,
$ \Rightarrow \dfrac{x}{y} = \dfrac{{15}}{{25}} = \dfrac{{3 \times 5}}{{5 \times 5}}$
Now cancel out the common factor we have,
$ \Rightarrow \dfrac{x}{y} = \dfrac{{3 \times 5}}{{5 \times 5}} = \dfrac{3}{5}$
So this is the required simplified form of the given ratio.

Note: Whenever we face such types of problems the key concept is to remove the decimal before simplifying, so count the number of digits from the left till the decimal and divide with these much tenth to that. Then look for the number which can divide both of them. This will help to get the simplified form.