Simplify the product by canceling common factors: (6/25) × (25/8).

• A. 3/4
• B. 6/8
• C. 150/200
• D. 1/2

Answer: (A)

Canceling common factors across fractions lets you simplify a product. In (6/25) × (25/8), the 25 in the denominator of the first fraction cancels with the 25 in the numerator of the second, leaving (6/1) × (1/8) = 6/8, which reduces by 2 to 3/4. You’d get the same result if you multiplied first and then reduced: 6×25 = 150 and 25×8 = 200, and 150/200 reduces to 3/4. The other forms shown represent the same value in non-simplified terms (6/8 and 150/200) or are not equal (1/2). The simplest form is 3/4.