Question

The ratio 35 : 84 in simplest form is *

Answer 1

Answer:

35:84=35/84

Both are divisible by 7 so,

35/84= 5/12= 5:1

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Answer 2

The ratio 35 : 84 in simplest form is 5 : 12

Given : The ratio 35 : 84

To find : To express 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

The given ratio is 35 : 84

Step 2 of 3 :

Find the HCF of antecedent and consequent

35 = 5 × 7

84 = 2 × 2 × 3 × 7

HCF = 7

Step 3 of 3 :

Find the ratio in simplest form

35 : 84

$\displaystyle \sf{ = \frac{35}{84} }$

$\displaystyle \sf{ = \frac{35 \div 7}{84 \div 7} }$

$\displaystyle \sf{ = \frac{5}{12} }$

= 5 : 12

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