Question

find a rational number which when multiplied by(3/7)2gives the product81/343​

Answer 1

Step-by-step explanation:

This is the first question with Chp. n class mentioned that I have come across.

So now for the answer.

Let the rational number be 'x'

When multiplied by 3/2,

x * 3/2 = 3x/2

Subtracting it from 5/12

5/12 - 3x/2

(LCM=12)

5/12 - 3x/2 * 6/6

5/12 - 18x/12

So, we get

5-18x/12 = -6/7

7(5-18x) = 12(-6) (Transposing denominators to opposite sides)

35 - 126x = -72

-126x = -72 + 35 (Transposing 35 to RHS)

-126x = -37

126x = 37

x = 37/126