Question

current skill
multiply:
$7 \times \frac{3}{5}$
provide an answer as a simplified proper fraction or mixed number.
skill code: 205011

Explanation:

Step1: Multiply integer by numerator

To multiply \(7\) by \(\frac{3}{5}\), we use the rule for multiplying an integer by a fraction: \(a\times\frac{b}{c}=\frac{a\times b}{c}\). So, \(7\times\frac{3}{5}=\frac{7\times3}{5}\).
Calculating the numerator: \(7\times3 = 21\), so we have \(\frac{21}{5}\).

Step2: Convert to mixed number (optional, but since 21 > 5, we can do this)

To convert \(\frac{21}{5}\) to a mixed number, we divide 21 by 5. \(5\times4 = 20\), so the quotient is 4 and the remainder is \(21 - 20=1\). So, \(\frac{21}{5}=4\frac{1}{5}\).

Answer:

\(4\frac{1}{5}\) (or \(\frac{21}{5}\) if proper fraction is preferred, but since 21/5 is an improper fraction and the problem allows mixed number, \(4\frac{1}{5}\) is a simplified mixed number)