Question

Express 75 paise : 3 rupees in the simplest form

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Answer 1

Answer:

1 paise : 4 paise is the simplest form.

Step-by-step explanation:

We know that

1 rupee=100 paise

∴3 rupee =300 paise

Then,

75:300

HCF of 75 and 300 is 75

(75/75)/300/75=1/4

=1 paise: 4 paise

Answer 2

Answer:

Simplest form of 75 paise : 3 rupees is $1:4$

Step-by-step explanation:

To convert : given ratio into simplest form

Given :  75 paise : 3 rupees

Solution :

• According to given data we know that ,  75 paise : 3 rupees .
• We know that , $1$ rupee = $100$ paise
• Then , $3$ rupees = $300$ paise
• Therefore , we write as ,
• 75 paise : 3 rupees ⇒ $75$ paise :  $300$ paise ⇒ $\frac{75\ paise }{300\ paise }= \frac{75}{300}$
• To convert obtained fraction into simplest form we find HCF of numerator and denominators of given fraction.
• To find HCF of we find prime factors of these numbers.
• Prime factors of $75 = 3\times 5\times 5$  
• Prime factors of $300 = 2\times 2\times 3\times 5\times5$
• HCF of $75$ and $300$ = $3\times 5\times 5$

                                       $= 75$

• Now, dividing numerator and denominator by HCF, we get,

         $\frac{75 \div 75}{300 \div75}=\frac{1}{4}$