Multiplying and Dividing Fractions

Multiplying Fractions

When you multiply fractions, just multiply the numerator by the numerator, and the denominator by the denominator. The result of the numerator multiplication will be the numerator of the answer and the result of the denominator multiplication will be the denominator of the answer. After you multiply the fractions, you might need to reduce the result.

Multiplying a Fraction by a Whole Number

If you need to multiply a fraction by a whole number, you should convert the whole number to an improper fraction where that number is the numerator and 1 is the denominator.

Converting an Improper Fraction to a Whole Number

You might then need to convert this improper fraction of 28/5 to a mixed number in order to choose the correct answer. This is done by dividing the numerator, 28, by the denominator, 5, and leaving the remainder as the numerator of the fraction and the denominator unchanged.

Multiplying a Fraction by a Mixed Number and Converting Mixed Numbers to Improper Fractions

If you need to multiply a fraction by a mixed number, first convert the mixed number to an improper fraction. The way to convert a mixed number to an improper fraction is by multiplying the whole number of the mixed number by the denominator and adding this product to the numerator.

Dividing Fractions

The way you divide a fraction by a fraction is by flip-flopping the second fraction (replace the numerator with the denominator and the denominator with the numerator) and then multiplying the fractions.

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16 comments

  1. ELIZABETH DEAN says:

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    • Ziyi says:

      It’s great to hear this site might be helping you! Please let me know if there is anything missing here that might help people pass the test. Hopefully you did pass, but if not good luck when you take it again!

  2. Alexander says:

    Thank You SOOOOO MUCH I now FULLY UNDERSTAND HOW TO ADD SUBTRACT MULTIPLY AND DIVIDE FRACTIONS FROM THE BACK OF MY HEAD NOW. IT’S SO EASY WHEN YOU KEEP DOING IT OVER AND OVER AGAIN. Now hopefully i can go take my GED and Pass with 80% or higher thank you so much again

  3. alex says:

    Finally found a math site that helps…I want to pass my the ged test in the worst way. I have passed everything but the math portion so I thank you for this site I’m beginning to understand math.

  4. renee H says:

    i would like to know how to reduce large fractions,i get confused and dont know how to find a number that goes into the numerator and denominator like you did above 174/21

  5. windy says:

    on thr dividing of fractions the last problem how did they get the 3 inorder to divid and reduce? Are they just using the denominator from the 2/3?

  6. Tesa says:

    Hi, Please help me understand this problem. 5×7
    – -
    16×9

    How did they come up ith the value .243?

  7. Micah says:

    This is really helping me understand Thanks man take Ged test Nov 4 2013

  8. Anonymous says:

    Iam very scare to take the test. Just stared to take the classes but still looking online for help. Theres so much to learned. I having hard time on multiplying divisions on simplifying the numbers

  9. nick says:

    do you have a section for scientific notation,if not i know the test has it so could you include it

  10. aisha mone says:

    Im taking the ged test in 2 weeks and i’ve been trying to find a site that helps so far this is the best one i’ve seen its very helpful and understanding thankyou sooo much!!

  11. Andrew says:

    SO HELPFUL!!!!!!!!!!!!!!!!!!!!!!!!

  12. Jay says:

    Thank you,this site has helped me understand fractions better. I have taken all of the GED and passed everything but math.I’m really praying that when I drive all the way to Waycross,Georgia,I pass it and get my GED. With that being said thank you so much.

  13. Stephanie says:

    I am taking the G.E.D test Feb 12th and i am terrified because i found out 2014 is harder than it has ever been. I found this site to be so helpful…. Thank You

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