Answer :

Sure, let's break down the problem step by step to find the solution.

We are given the following expression to solve:

[tex]\[ \frac{6}{7} \times 16 \][/tex]

Step 1: Simplify the Fraction

First, compute the value of the fraction:
[tex]\[ \frac{6}{7} \][/tex]

This can be simplified to:
[tex]\[ \frac{6}{7} \approx 0.8571428571428571 \][/tex]

Step 2: Multiply the Result by 16

Next, multiply the result of the fraction by 16:
[tex]\[ 0.8571428571428571 \times 16 \][/tex]

When you perform this multiplication, you get:
[tex]\[ 0.8571428571428571 \times 16 = 13.714285714285714 \][/tex]

To summarize:

- The division [tex]\( \frac{6}{7} \)[/tex] results in approximately [tex]\( 0.8571428571428571 \)[/tex].
- Multiplying the result by 16 gives [tex]\( 13.714285714285714 \)[/tex].

So, the final answer is:

[tex]\[ \left( \frac{6}{7} \right) \times 16 = 13.714285714285714 \][/tex]