Rea woiks \( 12 \frac{3}{4} \) hours in her lirst week al a new job She works \( 15 \frac{1}{4} \) hours in the second week How many more hours does Rea work the second week? A \( 2 \frac{2}{4} \) hours B. \( 2 \frac{3}{4} \) hours C \( 3 \frac{2}{4} \) hours D \( 3 \frac{3}{4} \) hours ViowScoroSummary

To find out how many more hours Rea works in the second week compared to the first, we need to subtract the hours of the first week from the hours of the second week. First week: \( 12 \frac{3}{4} = 12.75 \) hours Second week: \( 15 \frac{1}{4} = 15.25 \) hours Now, let's subtract them: \[ 15.25 - 12.75 = 2.5 \] hours, which can be written as \( 2 \frac{1}{2} \) hours or \( 2 \frac{2}{4} \) hours. So, the answer is A. \( 2 \frac{2}{4} \) hours. Now, let’s break it down a bit! Subtracting mixed numbers can be tricky, but it gets easier with practice. Remember to convert mixed numbers to improper fractions if that helps, or to a decimal for straightforward calculations. Just make sure you convert back to a mixed number for the final answer if necessary! Setting up a systematic approach also helps avoid common mistakes, such as mismanaging the fractions or forgetting to account for whole numbers when regrouping. Try to line up your fractions neatly or draw a number line—it can make a world of difference!