Question

express the ratio 75:200 in simplest form

Answer 1

Given : 75 : 200

To Find : express the ratio 75:200 in simplest form

Solution :

      75 :  200

Dividing both the numbers by 25,

      $\frac{75}{25}$ :  $\frac{200}{25}$

       3 :  8

∴ The simplest form of the ratio 75 : 200 is 3 : 8 (Answer).

What is a ratio?

A ratio is the comparison of two or more quantities of the same kind.

Answer 2

The ratio 75 : 200 in simplest form is 3 : 8

Given : The ratio 75 : 200

To find : To express the ratio in simplest form

Concept :

Ratio :

Ratio means comparing of two quantities

The ratio of a number a to another number b ( where b ≠ 0) is a fraction a/b and it is written as a : b , the first term a is called antecedent and the second term is called consequent

Solution :

Step 1 of 3 :

Write down the given ratio

Here the given ratio is 75 : 200

Step 2 of 3 :

Find HCF of 75 and 200

75 = 3 × 5 × 5

200 = 2 × 2 × 2 × 5 × 5

Step 3 of 3 :

Express in simplest form

75 : 200

Dividing both of the antecedent and the consequent by 25 we get

$\displaystyle \sf{7 5 :200 }$

$\displaystyle \sf{ = \frac{75}{200} }$

$\displaystyle \sf{ = \frac{75 \div 25}{200 \div 25} }$

$\displaystyle \sf{ = \frac{3}{8} }$

$\displaystyle \sf{ = 3 : 8}$

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