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3 years ago

Covert this repeating decimal into a fraction ANSWER CHOICES 4936/990, 530/900,674/990,8099/990

Mathematics

2 answers:

aivan3 [116]3 years ago

6 0

53/90

I plugged the answer choices into the calculator and this was the correct one

Yanka [14]3 years ago

5 0

Answer: 53/90

Step-by-step explanation:

Okie so in order to do this, we need to get rid of the repeating part of the decimal

==============================================================

Right now we have x = 0.58888888888888888...

If we multiply this by 10, we get

10x = 5.888888888888888

And if we multiply by 100 we get

100x = 58.8888888888888

==============================================================

Subtract the two equations

100x = 58.8888888888888

10x = 5.888888888888888

------------------------------------------------- (notice: the repeating part will cancel out)

90x = 53

x = 53/90

This fraction cannot be further simplified

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Answer:

General Formulas and Concepts:

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Step-by-step explanation:

Step 1: Define

f(x) = -2x + 3

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f(3) is x = 3 for function f(x)

g(7) is x = 7 for function g(x)

Step 2: Solve

Substitute in x [Functions]: f(3) = -2(3) + 3, g(7) = 2(7) + 3
Substitute in functions: f(3) + g(7) = -2(3) + 3 + 2(7) + 3
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Add: f(3) + g(7) = -3 + 14 + 3
Add: f(3) + g(7) = 14

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