We want to see how many times as long in the morning did the builder work in the afternoon. We will get that by tanking a quotient of fractions, and the answer is 9/4 times.
We know that the builder worked 2/5 hours in the morning.
And we also know that he worked 9/10 of an hour in the afternoon.
To get how many times as long in the morning did he work in the afternoon, we just need to take the quotient between the time he worked in the afternoon and the time he worked in the morning, we will get:
[tex]\frac{9/10}{2/5} = \frac{9*5}{2*10} = \frac{45}{20}[/tex]
Now we can simplify that, we divide both numerator and denominator by 5.
[tex]\frac{45/5}{20/5} = \frac{9}{4}[/tex]
Then we can conclude that, in the afternoon, the builder worked 9/4 times the amount of time that he worked in the morning.
If you want to learn more, you can read:
https://brainly.com/question/4891924
