Final answer:
To divide a number by 5/2 and then multiply by 1/2, we can rewrite the expression as multiplying the number by 2/5 and then multiplying by 1/2, which simplifies to 1/5.
Step-by-step explanation:
To divide a number by 5/2 and then multiply by 1/2, we can use the property of division being the same as multiplying by the reciprocal. The reciprocal of 5/2 is 2/5, so we can rewrite the expression as multiplying the number by 2/5 and then multiplying by 1/2. Multiplying 2/5 by 1/2 is the same as multiplying the numerators (2 and 1) and multiplying the denominators (5 and 2). Therefore, the result is 2/10 or 1/5.