Question

multiply. write your answer as a mixed number in simplest form. $2\frac{4}{7} \times 4$

Explanation:

Step1: Convert mixed number to improper fraction

To convert \(2\frac{4}{7}\) to an improper fraction, we use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). So, \(2\frac{4}{7}=\frac{2\times7 + 4}{7}=\frac{14 + 4}{7}=\frac{18}{7}\).

Step2: Multiply the improper fraction by 4

Now, we multiply \(\frac{18}{7}\) by 4. That is \(\frac{18}{7}\times4=\frac{18\times4}{7}=\frac{72}{7}\).

Step3: Convert the improper fraction back to a mixed number

To convert \(\frac{72}{7}\) to a mixed number, we divide 72 by 7. \(72\div7 = 10\) with a remainder of 2. So, \(\frac{72}{7}=10\frac{2}{7}\).

Answer:

\(10\frac{2}{7}\)