What is the result of dividing 25 1/2 by 1 1/2?

• A. 16
• B. 17
• C. 18
• D. 19

Answer: (B)

To find the result of dividing 25 1/2 by 1 1/2, it is helpful to first convert both mixed numbers to improper fractions.

25 1/2 can be converted as follows:

• Multiply the whole number (25) by the denominator (2): (25 \times 2 = 50).

• Add the numerator (1): (50 + 1 = 51).

• Therefore, 25 1/2 becomes ( \frac{51}{2} ).

Next, convert 1 1/2:

• Multiply the whole number (1) by the denominator (2): (1 \times 2 = 2).

• Add the numerator (1): (2 + 1 = 3).

• So, 1 1/2 becomes ( \frac{3}{2} ).

Now, to divide these fractions, you multiply by the reciprocal of the divisor:

[

\frac{51}{2} \div \frac{3}{2} = \frac{51}{2} \times \frac{2}{3}

]

When multiplying the fractions, the 2's cancel out:

[

= \