Question

multiply: $3 \times \frac{1}{10}$
provide an answer as a simplified fraction or mixed number.

Explanation:

Step1: Recall the rule for multiplying an integer by a fraction

To multiply an integer \( a \) by a fraction \( \frac{b}{c} \), we use the rule \( a\times\frac{b}{c}=\frac{a\times b}{c} \). Here, \( a = 3 \), \( b = 1 \), and \( c = 10 \).
So, \( 3\times\frac{1}{10}=\frac{3\times1}{10} \)

Step2: Simplify the numerator

Calculate the numerator: \( 3\times1 = 3 \). So the fraction becomes \( \frac{3}{10} \). Since 3 and 10 have no common factors other than 1, the fraction is already in its simplest form.

Answer:

\(\frac{3}{10}\)