Question

The lowest form of the ratio 24:16 is
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Answer 1

Answer:

3/2

Thus, 3/2 is the simplified fraction for 24/16 by using the GCD or HCF method. Thus, 3/2 is the simplified fraction for 24/16 by using the prime factorization method.

Answer 2

The lowest form of the ratio 24 : 16 is 3 : 2

Given :

The ratio 24 : 16

To find :

The lowest form of the ratio 24 : 16

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 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 24 : 16

Antecedent = 24

Consequent = 16

Step 2 of 3 :

Find common factor of antecedent and consequent

Antecedent = 24 = 2 × 2 × 2 × 3

Consequent = 16 = 2 × 2 × 2 × 2

So common factor of antecedent and consequent

= 2 × 2 × 2

= 8

Step 3 of 3 :

Find lowest form of the ratio 24 : 16

Hence the lowest form of the ratio 24 : 16

= 24 : 16

$\displaystyle \sf = \frac{24}{16}$

$\displaystyle \sf = \frac{24 \div 8}{16 \div 8}$

$\displaystyle \sf = \frac{3}{2}$

= 3 : 2

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