Question

Simplify the ratio 14.4 to 46.4

Answer 1

We have to simplify the ratio 14.4 to 46.4. To simplfy the ratio, cancel out all the common factors in 14.4 and 46.4.

First, we write terms without decimals.

`\begin{gathered} (14.4)/(46.4)=(14.4*10)/(46.4*10)\text{ } \\ =(144)/(464) \end{gathered}`

((Multipying numerator and denominator by constant does not change it)

Now, factorise 144 and 464 and cancel common factors.

`\begin{gathered} (144)/(464)=(4*4*3*3)/(4*4*29) \\ =(9)/(29) \end{gathered}`

Therefore, simplified ratio is 9 to 29.