8. Find the difference of \( 1 / 1 / 2 \) and \( 8 / 9 \) Simplify the answer.
Real Tutor Solution
Answer
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Reviewed and approved by the UpStudy tutoring team
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: \[ \frac{10}{9} \]