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8. Find the difference of \( 1 / 1 / 2 \) and \( 8 / 9 \) Simplify the answer.

Ask by Hanson Salazar. in the United States
Feb 04,2025

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Answer

The difference is \( \frac{10}{9} \).

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The Deep Dive

To find the difference of \( \frac{1}{1/2} \) and \( \frac{8}{9} \), we first simplify \( \frac{1}{1/2} \). Dividing by a fraction is the same as multiplying by its reciprocal, so: \[ \frac{1}{1/2} = 1 \times \frac{2}{1} = 2 \] Now we want to compute the difference: \[ 2 - \frac{8}{9} \] To subtract these two values, we first express \( 2 \) as a fraction with a denominator of \( 9 \): \[ 2 = \frac{2 \times 9}{9} = \frac{18}{9} \] Now we can subtract: \[ \frac{18}{9} - \frac{8}{9} = \frac{18 - 8}{9} = \frac{10}{9} \] The answer is: \[ \frac{10}{9} \]

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