Question

The product of two number is 5 ×2/3 .if one of them is 2×4/15 .find the other​

Answer 1

Answer:

the answer for the question is 75/2

Answer 2

Answer:

The product of the other number is $2\frac{17}{34}$

Step-by-step explanation:

Given: The product of two number is 5 ×2/3

The product of one number is 2×4/15

To find: The product of the other number

Solution

First we have to convert the mixed fraction into improper fraction

$5\frac{2}{3} = \frac{17}{3}$

$2\frac{4}{15} = \frac{34}{15}$

To find the other number we have to divide the product of the two number by the given numbers

As we know that,

The product of LCM and HCF of any two numbers is equal to the product of the numbers.

Product of the number = $\frac{17}{3}$

LCM of number =$\frac{34}{15}$

HCF of the number = ?

Let us take the other number be x

Therefore,

x × $\frac{34}{15}$  = $\frac{17}{3}$

$x = \frac{17}{3} * \frac{15}{34}$

$x = \frac{85}{34}$

$x=2\frac{17}{34}$

Final answer:

The product of the other number is $2\frac{17}{34}$

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