Question 14a: Calculate
Answer: Change the division sign to multiplication and invert the fraction to the right of the sign like this:
Multiply the numerators and the denominators, but leave them in factored form:
Factor numerator and denominator and look for the fraction in the mix that has a value of 1 as follows:
After re-arranging, we get:
Simplify the above to get:
Which is equal to:
Now use your calculator to prove to yourself that your answer is correct:
A. Compute 3 divided by 4.
B. Compute 9 divided by 16.
C. Divide the answer you got for A by the answer you got for B.
D. Now compute 4÷3 (4 divided by 3).
If the answers for C and D are the same (equivalent), you have successfully divided a fraction by a second fraction.
Question 14b: Calculate
Answer: Change the division sign to multiplication and invert the fraction to the right of the sign like this:
Multiply the numerators and denominators, but leave them in factored form:
Factor the numerator and denominator and look for the fractions that have a value of 1:
After re-arranging, we get:
Which is equivalent or equal to:
Now use your calculator to prove to yourself that your answer is correct:
A. Compute 3 divided by 40.
B. Compute 9 divided by 8.
C. Divide the answer you got for A by the answer you got for B.
D. Now compute 1÷15 (1 divided by 15).
If the answers for C and D are the same (equivalent), you have successfully divided a fraction by a second fraction.