Question

multiply. write your answer as a fraction or as a whole or mixed number. 4 3/5 × 1/2 =

Explanation:

Step1: Convert mixed number to improper fraction

To convert \( 4\frac{3}{5} \) to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). Here, \( a = 4 \), \( b = 3 \), and \( c = 5 \). So, \( 4\frac{3}{5}=\frac{4\times5 + 3}{5}=\frac{20 + 3}{5}=\frac{23}{5} \).

Step2: Multiply the two fractions

Now we multiply \( \frac{23}{5} \) by \( \frac{1}{2} \). When multiplying fractions, we multiply the numerators together and the denominators together: \( \frac{23}{5}\times\frac{1}{2}=\frac{23\times1}{5\times2}=\frac{23}{10} \).

Step3: Convert improper fraction to mixed number (optional, but to match the expected form)

To convert \( \frac{23}{10} \) to a mixed number, we divide 23 by 10. 10 goes into 23 two times with a remainder of 3. So, \( \frac{23}{10}=2\frac{3}{10} \).

Answer:

\( 2\frac{3}{10} \) (or \( \frac{23}{10} \))