Mathematics
need algebra help on how to divide fractions

Question Description

I have a problem and need help solving it and breaking it down step by step. the problem is 9/16 divide 13/32 = ? can some one please help me with this?

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

Final Answer

Thank you for the opportunity to help you with your question! Let me break this down for you step by step.

9/16 divided by 13/32.

When you divide two fractions, change division to multiplication and flip the second fraction:

So the problem becomes:  9/16 X 32/13 =

The 16 (denominator of the first fraction) and the 32 (numerator of the second fraction), can be reduced to 2/1:

This becomes:  9/1 X 2/13 = 18/13 (just multiply numerators together then denominators together).  Remember:  9/1 is the same as 9 (whole number).  You end up with a smaller number because you are multiplying a whole number by a fraction.  In other words, 2/13ths of the whole number 9 is 18/13 or 1 and 5/13. 

18/13 = 1 and 5/13 (18 minus 13 = 5 so 5 is the remainder)

1 5/13 = 1 and 5/13 = 1 + 5/13 (the space between the 1 and the 5 for 1 5/13 means 1 + (5)/13.  NOT (1+5)/13 DOES NOT EQUAL 6/13. 

1 (whole number) + 5/13 (fraction) as a mixed numeral or 18/13 as an improper fraction. 

REMEMBER:  When you are multiplying or dividing fractions, you DO NOT NEED A COMMON DENOMINATOR, THAT IS ONLY FOR ADDING AND SUBTRACTING FRACTIONS OR MIXED NUMBERS TOGETHER.

Please let me know if you need any clarification. I'm always happy to answer your questions.

Beth L (1006)
UT Austin

Anonymous
Awesome! Made my life easier.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4