Respuesta :

The product 3/2 x 3/4 is greater than 3/8.

The correct answer is option (C) 3/2 x 3/4

What is rational number?

"It is a number which is expressed as the ratio of two integers, where the denominator should not be equal to zero."

For given example,

We have been given a rational number 3/4 and the product of four rational numbers.

We need to find which product is greater than 3/4

3/4 = 0.75

Consider,

a) 1/2 x 3/4 = 3/8

⇒ 3/8 = 0.375

⇒ 0.375 < 0.75

b) 5/6 x 3/4 = 15/24

⇒ 15/24 = 0.625

⇒ 0.635 < 0.75

c) 3/2 x 3/4 = 9/8

⇒ 9/8 = 1.125

⇒ 1.125 > 0.75

⇒ (3/2 x 3/4 ) > 3/4

d) 2/5 x 3/4 = 3/10

⇒ 3/10 = 0.3

⇒ 0.3 < 0.75

Therefore, the product 3/2 x 3/4 is greater than 3/8.

The correct answer is option (C).

Learn more about rational numbers here:

https://brainly.com/question/17450097

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