Answer:
Most simplified version is 1 3/7
Step-by-step explanation:
First step is turn everything into a fraction 4 into a fraction is 4/1
4/1 times 5/14 is 20/14 or 1 and 6/14 or 1 and 3/7
Here we have a problem with the multiplication of fractions.
We will find that:
[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]
First, two things we need to remember:
[tex]\frac{x}{y} \cdot\frac{a}{b} = \frac{x \cdot a}{y \cdot b}[/tex]
Also, an integer number N can be written as:
[tex]N = \frac{N}{1}[/tex]
Now we want to solve:
[tex]4 \cdot\frac{5}{14}[/tex]
Using the above relations we get:
[tex]4 \cdot\frac{5}{14} = \frac{4}{1} \cdot\frac{5}{14} = \frac{4 \cdot5}{1 \cdot14} = \frac{20}{14}[/tex]
Now we need to simplify this, to do it, we need to divide both numerator and denominator by the same number.
We can see that both are multiples of 2, so if we divide both by 2 we get:
20/2 = 10
14/2 = 7
Then we have:
[tex]\frac{20}{14} = \frac{10}{7}[/tex]
Now 7 and 10 do not have common factors, so we can't simplify it anymore.
Concluding, we get:
[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]
If you want to learn more, you can read:
https://brainly.com/question/23715562
