Question

Simone has 5 in her flower shop.Each employee works 6 4/15 hours a day how many hours in total do the 5 empoyees work per day?

Answer 1

To figure out the total amount of hours an employee works, we have to multiply the total amount of employees by the amount of hours each employee would work. 

To simplify the mixed fraction of hours they work, convert the mixed fraction into an improper fraction:

$6 \frac{4}{15}$

Multiply the whole number by the denominator:

$6 \times 15 = 90$

Add this number to the numerator to convert the mixed fraction into an improper fraction:

$90 + 4 = 94$

$6 \frac{4}{15} = \frac{94}{15}$

Now we can multiply the two numbers together (note that a whole number can be treated as the number above the denominator 1):

5 employees working 94/15 hours a day:

$\frac{5}{1} \times \frac{94}{15} = \frac{470}{15}$

To simplify this fraction, divide the numerator by the denominator:

$470 \div 15 = 31 R 5$

The whole number stays as a number, and the remainder is the new numerator:

$31 \frac{5}{15}$

The fraction can be further simplified by dividing both the numerator and denominator by the greatest common factor:

Factors of 5: {1,5}
Factors of 15: {1,3,5,15}

$\frac{5}{15} \div \frac{5}{5} = \frac{1}{3}$

$31 \frac{5}{15} = 31 \frac{1}{3}$

The 5 employees will work a total of 31 and 1/3 hours a day.