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Write the repeating decimal 4.1363636 as a fraction.
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Write the repeating decimal 4.1363636 as a fraction.

Write the repeating decimal 4.1363636 as a fraction.-example-1
User Njeri
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2 Answers

1 vote
Answer: 91/22 that would be your answer
User Eric Svitok
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3.3k points
1 vote

Answer:

91/22.

Explanation:

4.1363636...

x = 4.1363636...

100 x 4.1363636...

= 413 .63636 .....

Terms of x :

100 x = x + 409 .5

Subtracting both sides by x

100 - x = 409 .5

99 x = 409 .5

Dividing both sides by 99

x = 409.5/99 .

x = 4095/990 .

x =819/198 .

Dividing both numbers by 9

x = 91/22 .

Hope this helps!

-kiniwih426

User Stefan DeClerck
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3.0k points
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