To solve the problem of finding the value of [tex]\(\frac{4}{7} \times 5\)[/tex], let's go through the steps systematically.
1. Calculate the value of the fraction [tex]\(\frac{4}{7}\)[/tex]:
The fraction [tex]\(\frac{4}{7}\)[/tex] represents the division of 4 by 7. This gives us:
[tex]\[
\frac{4}{7} ≈ 0.5714285714285714
\][/tex]
2. Multiply the fraction by the given number 5:
Now that we have the value of the fraction, we need to multiply it by 5. Thus, the calculation becomes:
[tex]\[
0.5714285714285714 \times 5 ≈ 2.8571428571428568
\][/tex]
So, the detailed solution is as follows:
- First, determine the value of the fraction [tex]\(\frac{4}{7}\)[/tex], which is approximately 0.5714285714285714.
- Then, multiply this value by 5 to get the final result, approximately 2.8571428571428568.
Therefore, the value of [tex]\(\frac{4}{7} \times 5\)[/tex] is approximately [tex]\(2.8571428571428568\)[/tex].
