5. Keith had \( 8 \frac{1}{2} \) cups of flour. He used \( 5 \frac{2}{3} \) cups to make bread. How many cups of flour does Keith have left?

To find out how many cups of flour Keith has left, we need to subtract the amount of flour he used to make bread from the total amount of flour he had. Given: - Total amount of flour Keith had: \(8 \frac{1}{2}\) cups - Amount of flour used to make bread: \(5 \frac{2}{3}\) cups Let's convert the mixed numbers to improper fractions to make the calculation easier. - Total amount of flour: \(8 \frac{1}{2} = \frac{17}{2}\) cups - Amount of flour used: \(5 \frac{2}{3} = \frac{17}{3}\) cups Now, we can subtract the amount of flour used from the total amount of flour to find out how many cups of flour Keith has left. \[ \text{Flour left} = \frac{17}{2} - \frac{17}{3} \] Let's calculate this. Calculate the value by following steps: - step0: Calculate: \(\frac{17}{2}-\frac{17}{3}\) - step1: Reduce fractions to a common denominator: \(\frac{17\times 3}{2\times 3}-\frac{17\times 2}{3\times 2}\) - step2: Multiply the numbers: \(\frac{17\times 3}{6}-\frac{17\times 2}{3\times 2}\) - step3: Multiply the numbers: \(\frac{17\times 3}{6}-\frac{17\times 2}{6}\) - step4: Transform the expression: \(\frac{17\times 3-17\times 2}{6}\) - step5: Multiply the numbers: \(\frac{51-17\times 2}{6}\) - step6: Multiply the numbers: \(\frac{51-34}{6}\) - step7: Subtract the numbers: \(\frac{17}{6}\) Keith has \(2 \frac{5}{6}\) cups of flour left.