Question

Rashid solved a fraction division problem using the rule "multiply by the reciprocal." His work is shown below. Three-fourths divided by 9. Three-fourths times StartFraction 1 Over 9 EndFraction = StartFraction 3 Over 36 EndFraction or StartFraction 1 Over 12 EndFraction

Answer 1

Rashid Missed This Step:
`(3)/(4 X 9)`

Explanation:

Rashid solved a fraction division problem using the rule "multiply by the reciprocal."

`(3)/(4) / 9\\ =(3)/(4) X (1)/(9)\\=(3)/(36)\\=(1)/(12)`

Rashid misses a step which will now be shown below:

`(3)/(4) / 9 =(3)/(4) X (1)/(9)\\=(3)/(4 X 9)\\=(3)/(36)\\=(1)/(12)`

Answer 2

A. Rashid solved the problem correctly.

Explanation:

The missing option is given as:

Which is the most accurate description of Rashid’s work?

A. Rashid solved the problem correctly.

B. Rashid multiplied the dividend by the divisor instead of finding the reciprocal.

C. Rashid multiplied the denominators instead of finding a common denominator.

D. Rashid multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Rashid solve the problem correctly as he gave the answer in lowest form.

`(3)/(4)` ÷
`9`

`(3)/(4) *(1)/(9) \\(3 * 1)/(4 * 9) \\(3)/(36) =(1)/(12)`

So, Rashid final answer is correct 3/36 or 1/12