Question

find the value of the expression
$9 \times v$
for $v = \frac{6}{7}$.
write your answer as a fraction or as a whole or mixed number.

Explanation:

Step1: Substitute the value of \( v \) into the expression

We are given the expression \( 9 \times v \) and \( v = \frac{6}{7} \). So we substitute \( v \) with \( \frac{6}{7} \) in the expression, getting \( 9\times\frac{6}{7} \).

Step2: Multiply the integer and the fraction

To multiply an integer by a fraction, we multiply the integer with the numerator of the fraction. So \( 9\times\frac{6}{7}=\frac{9\times6}{7} \). Calculating the numerator, \( 9\times6 = 54 \), so the expression becomes \( \frac{54}{7} \). We can also write this as a mixed number: \( 7\frac{5}{7} \) (since \( 54\div7 = 7 \) with a remainder of \( 5 \)).

Answer:

\( \frac{54}{7} \) (or \( 7\frac{5}{7} \))