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pantera1 [17]
2 years ago
14

Please help thank you

Mathematics
1 answer:
aivan3 [116]2 years ago
4 0

Answer:

a = 4

b = 11

Step-by-step explanation:

To convert the recurring decimals into fraction we will follow the following process.

Given recurring decimal is 0.36363636....

Let x = 0.363636......... (1)

Multiply this decimal with 100.

100x = 36.36363636...........(2)

Now subtract expression (1) from expression (2)

100x = 36.363636.......

<u>      x =   0.363636.......</u>

99x = 36

x = \frac{36}{99}

x = \frac{4}{11}

Since, x=\frac{a}{b}=\frac{4}{11}

a = 4 and b = 11 will be the answer.

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