Question

Express the ratio 25:45 in simplest form​

Answer 1

Answer:

5/9 is the simplified fraction for 25/45 by using the GCD or HCF method. Thus, 5/9 is the simplified fraction for 25/45 by using the prime factorization method.

Answer 2

The simplest form of the ratio 25:45 is 5:9

Given : The main ratio is, 25:45

To find : Simplification of the main ratio.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to simplify the given ratio)

The given ratio = 25:45

In this ratio,

• Antecedent = 25
• Consequent = 45

Now, we have to calculate the the HCF of the antecedent and consequent of the given ratio.

So, HCF of 25 and 45 :

25 = 5 × 5

45 = 3 × 3 × 5

Common factor = 5

HCF = 5

Now, to express the given ratio in its simplest form, we need to divide both its antecedent and consequent by the previously obtained HCF. The newly obtained quotients will form the new ratio which will be the simplest form of the initial ratio.

So,

= 25 : 45

= (25÷5) : (45÷5)

= 5:9

(This will be considered as the final result.)

Hence, the simplest form of the ratio 25:45 is 5:9