Question

1. Andy has 5 pots, and each pot can hold 3/8 pound of soil. how much soil does he need to fill all of the pots?

2. Find the product. 4 2/3 x 3 3/4
3. Evaluate the expression for x= 2 1/4. 12x + 6

Answer 1

(1)
`1(7)/(8)` pounds of soil (2)
`(35)/(2)` (3) 33

Solution:

(1) Number of pots = 5

Quantity of soil each pot can hold =
`(3)/(8)` pounds

Quantity of soil need to fill all the pots =
`5* (3)/(8)`

=
`(15)/(8)` pounds

=
`1(7)/(8)` pounds

Therefore,
`1(7)/(8)` pounds of soil need to fill all of the pots.

(2) To find the product of
`4(2)/(3)` and
`3(3)/(4)`.

Let us first convert the mixed fraction into improper fraction.

`4(2)/(3)*3(3)/(4)=((4*3)+2)/(3)*((3*4)+3)/(4)`

`=(14)/(3)*(15)/(4)`

`=(210)/(12)`

This can be simplified. Divide both numerator and denominator by 6.

`=(35)/(2)`

`4(2)/(3)*3(3)/(4)=(35)/(2)`

(3) To evaluate the expression 12x + 6 for
`x=2(1)/(4)`.

Let us first convert the mixed fraction into improper fraction.

`x=((2*4)+1)/(4)=(9)/(4)`

`12x+6=12((9)/(4))+6`

`=((108)/(4))+6`

`=27+6`

12x + 6 = 33