Which expression is equivalent to the value of 3 x 4/5?

• A. (3x4) / 5
• B. 12/5
• C. 15/5
• D. 3/20

Answer: (B)

To determine why the choice that yields 12/5 is equivalent to the expression (3 \times \frac{4}{5}), we start by interpreting the expression.

The expression consists of multiplying the whole number 3 by the fraction (\frac{4}{5}). To do this, we can view 3 as a fraction itself, which can be represented as (\frac{3}{1}). When we multiply two fractions, we multiply the numerators and the denominators:

[

\frac{3}{1} \times \frac{4}{5} = \frac{3 \times 4}{1 \times 5} = \frac{12}{5}

]

This calculation shows that when you multiply 3 by (\frac{4}{5}), you arrive at (\frac{12}{5}). Therefore, this value accurately represents the multiplication of 3 and (\frac{4}{5}).

In this context, 12/5 is the simplified and correct expression resulting from the original multiplication. This highlights the importance of correctly understanding how to manipulate whole numbers and fractions together.

Other values do not accurately reflect this multiplication either through incorrect combinations or miscalculations,