Question

The amount of pepper needed for a dish is $0.7\overline{2}$ oz (in decimal form). Find its amount of pepper needed in rational number form?

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

Answer 1

The correct option is C 13/18 oz

Given:
Amount of pepper needed
= $0.7\overline{2}$oz = 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 = $\frac{65}{90}$

$⟹$ x = $\frac{13}{18}$

Therefore, the amount of pepper needed in rational number form is
$\frac{13}{18}$ oz.