Question

1. Find the product of 1/4 x 36 and 5/8 x 36. Explain how knowing those two products can help you find the product of 7/8 x 36.1/4×36=5/8×36=

Answer 1

Given data:

The first expression is 1/4 x 36.

The second expression is 5/8 x 36.

The firts expression can be written as,

`(1)/(4)*36=9\ldots\ldots\text{.(I)}`

The second expression can be written as,

`\begin{gathered} (5)/(8)*36=(5)/(2)*9 \\ =(45)/(2) \end{gathered}`

The 7/8 x 36 can be written as,

`(7)/(8)*36=((1)/(4)*36)*(7)/(2)`

Substitute from equation (I).

`\begin{gathered} (7)/(8)*36=9*(7)/(2) \\ =(63)/(2) \end{gathered}`

Thus, the value of firts expression is 9 and second expression is 45/2.