Dierdre’s work to solve a math problem is shown below. Problem: How many 1 and one-half-foot pieces can be cut from a 12-foot length of ribbon? Step 1: 1 and one-half divided by 12 = n Step 2: Three-halves divided by 12 = n Step 3: Three-halves times StartFraction 1 Over 12 EndFraction = n Step 4: StartFraction 3 Over 24 EndFraction = n Answer: One-eighth = n What was Dierdre’s first error? She switched the divisor and the dividend in step 1 when creating an equation to model the problem. She used an improper fraction in step 2 that is not equivalent to 1 and one-half. She replaced the divisor by its reciprocal in step 3 instead of replacing the dividend by its reciprocal. She reduced the fraction in step 4 incorrectly.