The product of two rational number is 89 If one of the number is minus 4 upon 15 find the other

The product of two rational numbers is\[\frac{- 8}{9} .\]  If one of the numbers is \[\frac{- 4}{15},\] find the other.

\[\text{Let the other number be x .} \]\[ \therefore x \times \frac{- 4}{15} = \frac{- 8}{9}\]\[\text{or} x = \frac{- 8}{9} \div \frac{- 4}{15}\]\[\text{or} x = \frac{- 8}{9} \times \frac{15}{- 4}\]\[\text{or} x = \frac{10}{3}\]

\[\text{Thus, the other number is} \frac{10}{3} .\]

Concept: Rational Numbers Between Two Rational Numbers

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Text Solution

Solution : Let,<br> The first number be `(-4)/(15)`.<br>The other number be x.<br>Product of two numbers `=(-8)/9`.<br>Now,<br> `(-4/15)xx x=(-8)/9`<br>`x=(8/9)xx(15/4)`<br>`x=10/3`.

Question 4 Rational Numbers Exercise 1.7

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Answer:

We know that the product of two rational numbers = -8/9

One of the number = -4/15

∴ other number is obtained by dividing the product by the given number.

Other number = (-8/9)/(-4/15)

= (-8/9) × (15/-4)

= (-2/3) × (5/-1)

= (-2×5) /(3×-1)

= -10/-3

= 10/3

Video transcript

hello everybody welcome to leader learning my name is rachna chaudhary and we are going to solve this question question is the product of two rational numbers is minus 8 upon 9 one of the numbers is minus 4 upon 15 so let's note down whatever is given so the product is minus 8 upon 9 first number is minus 4 upon 15 we have to find the second number so second number can be obtained by dividing the product by the first number product is minus 8 upon 9 second number is minus 4 upon 15 we are going to use keep change flip keep change flip so keep minus 8 upon 9 as it is change division into multiplication flip the next fraction so 15 upon minus 4 minus 4 is n minus 8 are cancelled out by each other so we know 2 times now we can also cancel out 9 and 15 by 3 because 3 is a common factor so 3 times 3 is 9 3 times 5 5 is 15. now we have to multiply numerators to the numerators and denominator to the denominator so 2 multiplied by 5 10 3 multiplied by one we have one here so we have three this is the final answer i hope you understand the method see you in my next video don't forget to like share and subscribe the channel thank you for watching

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