2) Brandon's lemon cookie recipe calls for \( \frac{4}{5} \) of a cup of sugar. How much sugar would Brandon use to make \( 1 \frac{1}{2} \) batches?

To find out how much sugar Brandon would use to make \( 1 \frac{1}{2} \) batches of lemon cookies, we need to first determine the amount of sugar required for one batch and then multiply it by the number of batches. Given that Brandon's lemon cookie recipe calls for \( \frac{4}{5} \) of a cup of sugar for one batch, we can calculate the amount of sugar needed for \( 1 \frac{1}{2} \) batches as follows: 1. Calculate the amount of sugar needed for one batch: \[ \text{Sugar needed for one batch} = \frac{4}{5} \text{ cups} \] 2. Calculate the amount of sugar needed for \( 1 \frac{1}{2} \) batches: \[ \text{Sugar needed for } 1 \frac{1}{2} \text{ batches} = \frac{4}{5} \text{ cups} \times 1 \frac{1}{2} \] Let's calculate the amount of sugar needed for \( 1 \frac{1}{2} \) batches. Calculate the value by following steps: - step0: Calculate: \(\frac{4}{5}\times 1.5\) - step1: Convert the expressions: \(\frac{4}{5}\times \frac{3}{2}\) - step2: Multiply the fractions: \(\frac{4\times 3}{5\times 2}\) - step3: Multiply the terms: \(\frac{12}{5\times 2}\) - step4: Multiply the terms: \(\frac{12}{10}\) - step5: Reduce the fraction: \(\frac{6}{5}\) Brandon would use \( 1 \frac{1}{5} \) cups of sugar to make \( 1 \frac{1}{2} \) batches of lemon cookies.