# Simplify the ratio: 8 : 6/5show all you working out and explain how you got that answer.

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The given ratio is 8:6/5.

We epress ratios in the smallest possible intgral ratios .

So we bring the ratio intgral form by multiplying by 5 as the second term in ratio becomes integer by this. Note that by multiplying (or dividing ) both ordered pairs of a ratio by the same number(but not zero) the value of the ratio does noot change.

(8*5):(6/5)*5

40: 6 . Now divide the ordered pair of numbers in the ratio by 2.

(40/2) : (6/2)

20 : 3.

So the given ratio is in the simple integral form is 20:3

there are two types of answer

**1-for balance it we will multiplyby 5**

8*5:6/5*5

=40;6

=20;3- *1 ans*

*2-ratio mean divide so,*

8:6/5 -it wil convert into8/6/5

5 will multiply with 8

this will 8*5/6

=40/6=20/3

so 20:3* -2 ans*

The first step in simplifying ratios should always be to remove the decimal. The easiest way to do so is to multiply both sides by the denominator.

(8)*5 : (6/5)*5

= 40:6

Next we need to divide both sides by there L.C.M.

(40)/2 : (6)/2

= 20 : 3

To simplify the ratio we express it in the form of two numbers which do not have any factors in common except for 1.

We have the given ratio 8: (6/5)

This is equivalent to 8/ (6/5).

Now to simplify it :

multiply the numerator and denominator by (5/6)

=> [8*(5/6)] / [(6/5)*(5/6)]

=> [40/6] / 1

=> 40 / 6

now divide the numerator and denominator by 2

=> 20 / 3

=> Or 20 : 3

[ We see that 20 and 3 only have 1 as the common factor]

**So the simplified form of 8 : 6/5 is 20 : 3**