Question

4 and 1\frac{1}{5} (the image shows these numbers, but the specific problem is unclear)

Explanation:

Assuming the problem is to calculate \( 4\times1\frac{1}{5} \) (since the numbers seem to be 4 and \( 1\frac{1}{5} \) from the image):

Step1: Convert mixed number to improper fraction

A mixed number \( 1\frac{1}{5} \) can be converted to an improper fraction. The formula for converting \( a\frac{b}{c} \) to improper fraction is \( \frac{a\times c + b}{c} \). For \( 1\frac{1}{5} \), \( a = 1 \), \( b = 1 \), \( c = 5 \). So, \( 1\frac{1}{5}=\frac{1\times5 + 1}{5}=\frac{6}{5} \).

Step2: Multiply the whole number by the improper fraction

Now we multiply 4 (which is \( \frac{4}{1} \)) by \( \frac{6}{5} \). When multiplying fractions, we multiply the numerators together and the denominators together. So, \( 4\times\frac{6}{5}=\frac{4\times6}{1\times5}=\frac{24}{5} \).

Step3: Convert back to mixed number (optional, but common)

To convert \( \frac{24}{5} \) to a mixed number, we divide 24 by 5. 5 times 4 is 20, with a remainder of 4. So, \( \frac{24}{5}=4\frac{4}{5} \).

Answer:

If we keep it as an improper fraction, the answer is \( \frac{24}{5} \). If we convert to a mixed number, the answer is \( 4\frac{4}{5} \).