Chapter 7.3, Problem 2ST1

To determine

To calculate: Ratio of 60 cm to 2 m in the simplest form.

Answer to Problem 2ST1

  $3:10$

Explanation of Solution

Calculation:

A ratio $a:b$ is said to be in simplest form if $HCF(a,b)=1$ .

Take $a=60cm,b=2m$

First convert $2m$ to $cm$

As $1m=100cm$ ,

  $2m=2\times 100=200cm$

So,

  $a=60cm,b=200cm$

Therefore,

  $a:b=60:200$

Divide $a$ and $b$ by $20$

  $\begin{array}{l}a÷20=60÷20=3\\ b÷20=200÷20=10\end{array}$

So,

  $a:b=3:10$

Here,

  $HCF(a,b)=HCF(3,10)=1$

So,

  $3:10$ is the simplest form of 60 cm to 2 m