Write the recurring decimal 0.36 as a fraction. Give your answer in its simplest form. [0.36 means 0.3666...]

.

Step-by-step explanation:

x

=

0.3666

.

.

(1)  

10

x

=

3.666

...

(2)  

100

x

=

36.666

...

(2)-(1):

100

x

−

10

x

=

36.666

...

−

3.666

...

90

x

=

33

x

=

33

90

=

11

30

9/25

Step-by-step explanation:

In this case, 0.36 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point.

⇒ 36/100

After reducing this fraction we get

⇒ (36 ÷ 4) / (100 ÷ 4) = 9/25

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)