Question

A swimming pool is open for 12{3}{4} hours each day. The lifeguards work shifts that are {3}{4} hour long. How many shifts are there each day?

Answer 1

Answer: He works 16 hours a day

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

121×43=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

12×41×3=483

Since 48 divided by 3 equals 16 then,

483=16

Therefore:

121÷34=16

Solution by Formulas

Apply the fractions formula for division, to

121÷34

and solve

12×41×3

=483

=16

Therefore:

121÷34=16

Answer 2

Answer: 17 shifts each day

Step-by-step explanation:12 3/4 decided by 3/4 is 17