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Karo-lina-s [1.5K]
3 years ago
15

(a) What is 0.36 repeating 36 expressed as a fraction in simplest form? (b) What is 0.36 repeating 6 expressed as a fraction in

simplest form? (c) What is expressed 0.36 as a fraction in simplest form?
Please help
Mathematics
2 answers:
sweet [91]3 years ago
6 0
A. 4/11
b. 11/30
c. 9/25
GREYUIT [131]3 years ago
4 0

Answer:

a) x=\frac{4}{11}    

b) x=\frac{11}{30}  

c) x=\frac{9}{25}  

Step-by-step explanation:

(a) Given : 0.36 repeating 36

To find : What is 0.36 repeating 36 expressed as a fraction in simplest form?

Solution :

Let x=0.36363636363.....   ......(1)

Now as there are two digits repeating immediately after decimal point, we multiply above by  100  and get,

100x=36.36363636....  .....(2)

Subtract equation (1) from (2),

99x=36

x=\frac{36}{99}

x=\frac{4}{11}    

(b) Given : 0.36 repeating 6

To find : What is 0.36 repeating 6 expressed as a fraction in simplest form?

Solution :

Let x=0.3666666.....   ......(1)

Now as there are one digits repeating immediately after decimal point, we multiply above by  10  and get,

10x=3.6666666....  .....(2)

Subtract equation (1) from (2),

9x=3.3

x=\frac{3.3}{9}

x=\frac{11}{30}  

(c) Given : 0.36

To find : What is expressed 0.36 as a fraction in simplest form?

Solution :

Let x=0.36

x=\frac{36}{100}

x=\frac{9}{25}  

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