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

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neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

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

 

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madhavbhatia22's profile pic

madhavbhatia22 | Student, Grade 10 | (Level 1) eNoter

Posted on

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

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qwertymak's profile pic

qwertymak | Student, Grade 10 | (Level 1) Honors

Posted on

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

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william1941's profile pic

william1941 | College Teacher | (Level 3) Valedictorian

Posted on

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

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