Question

A painter works \[7\dfrac{3}{4}\] hours per day. How many hours does this painter work in a 5 day week?

Answer 1

Hint: In this problem, we are given that a painter works \[7\dfrac{3}{4}\] hours per day, we have to find how many hours this painter works in a 5-day week. We can first convert the given mixed fraction into improper fraction and then we can convert the improper fraction to its decimal form. We can then multiply the given days and the resulted decimal number to find the number of hours.

Complete step by step solution:
We are given that,
A painter works \[7\dfrac{3}{4}\] hours per day.
We have to find how many hours this painter works in a 5day week.
Now we can convert the given mixed fraction into an improper fraction.
We can now multiply the whole number part and the denominator and add the numerator and write the result in the numerator,
\[\Rightarrow \dfrac{31}{4}\]
Now we can convert the above fraction into its decimal.
\[\Rightarrow \dfrac{31}{4}=7.75\]
Now we can multiply the number 5 to the above decimal, we get
\[\Rightarrow 7.75\times 5=38.75\]hours.
Therefore, the painter works 38.75hours in a 5days week.

Note: Students make mistakes while converting the mixed fraction into its improper fraction, we can multiply the whole number part and the denominator and add the numerator and write the result in the numerator. We can also find the number of hours without converting it into a decimal number.