Question

What is the quotient of three and two thirds divided by 3 fifths?

Answer 1

theannswer wold be 100 .33 .87

Answer 2

Key Ideas

• Division in words
• Dividing with fractions

quotient = the answer to a division problem

• ex. 6/3 = 2
• The quotient of 6 and 3 is 2.

To divide by a fraction, multiply by the reciprocal of the fraction

reciprocal of a fraction = the numerator and denominator are reversed

Solving the Question

First, convert "three and two thirds" into an improper fraction:

`3(2)/(3)`

⇒ Multiply the whole number by the denominator and add the numerator:

`(11)/(3)`

Now, we want to divide this number by three fifths:

`(11)/(3)/(3)/(5)`

⇒ Dividing by a fraction is the same as multiplying by its reciprocal:

`= (11)/(3)*(5)/(3)\\\\=(55)/(9)`

Answer

`(55)/(9)`