Question

the product of two rational number is 3/2 if one of them is 5/13

Answer 1

Answer :

39/10

$\sf\underline{Step-by-step \: explanation}$

Given,

Product of the rational numbers = 3/2

One of them is = 5/13

2nd fraction = x

Forming an equation,

$\tt\dfrac{5}{13} \: \times \: x \: = \: \tt\dfrac{3}{2}$

Solving it,

$\tt\dfrac{5}{13} x \: = \: \tt\dfrac{3}{2}$

Taking it to the other side,

$\tt\dfrac{3}{2} \: \div \: \tt\dfrac{5}{13}$

Reciprocating,

$\tt\dfrac{3}{2} \: \times \: \tt\dfrac{13}{5}$

After Cancellation...

$\tt\dfrac{39}{10}$

Hence, the value of x is 39/10

Verification :

$\tt\dfrac{5}{13} x \: = \: \tt\dfrac{3}{2}$

$\tt\dfrac{5}{13} \: \times \: \tt\dfrac{39}{10} \: = \tt\dfrac{3}{2}$

$\tt\dfrac{3}{2} \: = \: \tt\dfrac{3}{2}$

Hence Verified!

So, the value of x is 39/10

Answer 2

Step-by-step explanation:

Given,

Product of the rational numbers = 3/2

One of them is = 5/13

2nd fraction = x

Forming an equation,

\tt\dfrac{5}{13} \: \times \: x \: = \: \tt\dfrac{3}{2}

13

5

×x=

2

3

Solving it,

\tt\dfrac{5}{13} x \: = \: \tt\dfrac{3}{2}

13

5

x=

2

3

Taking it to the other side,

\tt\dfrac{3}{2} \: \div \: \tt\dfrac{5}{13}

2

3

÷

13

5

Reciprocating,

\tt\dfrac{3}{2} \: \times \: \tt\dfrac{13}{5}

2

3

×

5

13

After Cancellation...

\tt\dfrac{39}{10}

10

39

Hence, the value of x is 39/10

Verification :

\tt\dfrac{5}{13} x \: = \: \tt\dfrac{3}{2}

13

5

x=

2

3

\tt\dfrac{5}{13} \: \times \: \tt\dfrac{39}{10} \: = \tt\dfrac{3}{2}

13

5

×

10

39

=

2

3

\tt\dfrac{3}{2} \: = \: \tt\dfrac{3}{2}

2

3

=

2

3

Jim

Hence Verified!

So, the value of x is 39/10