4. James has \( 4 \frac{3}{4} \) feet of rope. He plans to cut off \( 1 \frac{1}{2} \) feet from the rope. How much rope will be left?

To find out how much rope James will have left, we need to subtract \( 1 \frac{1}{2} \) feet from \( 4 \frac{3}{4} \) feet. First, convert the mixed numbers into improper fractions: \( 4 \frac{3}{4} = \frac{19}{4} \) and \( 1 \frac{1}{2} = \frac{3}{2} \). Now, find a common denominator, which is 4: \( \frac{3}{2} = \frac{6}{4} \). Now subtract: \[ \frac{19}{4} - \frac{6}{4} = \frac{13}{4} \] Convert \( \frac{13}{4} \) back to a mixed number: \( 3 \frac{1}{4} \). So, James will have \( 3 \frac{1}{4} \) feet of rope left. Making calculations easier is key in everyday situations. When dealing with mixed numbers, it's often helpful to convert them to improper fractions first before performing any operations. This simplifies addition, subtraction, and can keep you free from mistakes. If you're curious about fractions and their applications in real life, consider how they fit into baking recipes! Recipes often require precise measurements, and understanding fractions can make your cooking experience much smoother. You can easily scale your recipes up or down without any fuss!