Math, asked by keerthihemasankar, 2 months ago

Express 75 paise : 3 rupees in the simplest form

Answers

Answered by sourishsarkarkgec
2

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

Answered by divyapakhare468
1

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}

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