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Question

The amount of pepper needed for a dish is 0.7¯¯¯2 oz (in decimal form). Find its amount of pepper needed in rational number form?

A
7/9 oz
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B
11/18 oz
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C
13/18 oz
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D
5/11 oz
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Solution

The correct option is C 13/18 oz
Given:
Amount of pepper needed
= 0.7¯¯¯2oz = 0.722..

Let x = 0.7222..
10x = 7.222.. - Equation 1
100x = 72.22.. - Equation 2

Subtracting Equation 1 from Equation 2, we have:

100x - 10x = 72.22.. - 7.222...
90x = 65
x = 6590

x = 1318

Therefore, the amount of pepper needed in rational number form is
1318 oz.

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