Math, asked by priyankasmart9876, 5 months ago

The product of two rational number is 9/7. If one of them is 18/49, what is the other number? *​

Answers

Answered by snehitha2
4

Answer:

the other number = 7/2

Step-by-step explanation:

Given,

  • The product of two rational number is 9/7
  • one of them is 18/49

To find,

  • the other number = ?

Solution,

  let the other number be 'a'

 \sf \frac{18}{49} \times a =\frac{9}{7} \\\\ a=\frac{9}{7} \times \frac{49}{18} \\\\ a=\frac{\not{9}}{\not{7}} \times (\frac{\not{7} \times 7}{\not{9} \times 2}) \\\\ \bf a= \frac{7}{2}

the other number is 7/2

Verification :

  • One of the numbers = 18/49
  • the other number = 7/2
  • their product = 9/7

   \sf \frac{9}{7} = \frac{18}{49} \times \frac{7}{2} \\\\ \frac{9}{7} = \frac{9 \times 2}{7 \times 7} \times \frac{7}{2} \\\\ \frac{9}{7} = \frac{9}{7} \\\\ LHS=RHS

Hence verified!

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