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2 years ago

How to convert 0.083333 to a fraction

1 answer:

6 0

how to convert a repeating decimal to a fraction:
example: 0.0833333....
The repeating pattern is 3.

Let x = 0.083333...
Multiply x by 100 so the first repeat is to the right of the decimal point:
100x = 8.333...

Multiply x by 1000 so the first repeat is to the left of the decimal point:
1000x = 83.333...

Subtract the last two equations:
1000x - 100x = 83.333.... - 8.333...
900x = 75
x = 75/900, which is 1/12 in lowest terms.

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Thus, the linear equation to represents your distance from the restaurant is given as:

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Step-by-step explanation:

Given:

The distance (in miles) your friend is from the restaurant is given by:

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where $x$ represents the number of hours since your friend left home.

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To write a linear equation that represents your distance from the restaurant.

Solution:

From the given linear equation for your friend, we can say that the distance between your friend keeps decreasing as he approaches near the restaurant. The distance will be = 0 when your friend reaches the restaurant.

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