Multiplying Fractions
(5th Grade Mathematics)
The student will multiply two fractions.
Multiplying Fractions - how to multiply two proper or improper fractions.
Multiplying Mixed Fractions - how to multiply two mixed fractions.
Instructions - How to use the practice program. - instructions using the practice program.
Practice - practice multiplying fractions. The program generates many problems of varying levels of difficulty selected by the user.
To multiply two fractions:
First Method:
Multiply the numerators together.
Multiply the denominators together.
Simplify the fraction.
Convert the improper fraction (if it is improper) to a mixed fraction answer. To do this divide the denominator into the numerator finding the quotient and remainder. The quotient becomes the whole number of the mixed fraction, and the remainder becomes the numerator of the fraction part.
Example:
Step 1: Multiply the numerators together and the denominators together: | |
Step 2: Simplify the fraction: | |
Step 3: Divide the denominator into the numerator finding the quotient and remainder. | The quotient is 5 and the remainder is 3. |
Step 4: If necessary, simplify the fraction part to lowest terms by finding the greatest common factor, then divide both numerator and denominator by the factor. | In this problem the greatest common factor 1. |
Step 5: Write your answer as a mixed fraction. |
Second Method:
Cancel all common factors.
Multiply the numerators and denominators together.
Convert the improper fraction (if it is improper) to a mixed fraction answer.
Example:
Step1: Cancel all common factors. | |
Step 2: Multiply the numerators and denominators together. | |
Step 3: Convert the improper fraction to a mixed fraction answer. |
Example:
Step 1: Convert the mixed fractions to improper fractions. | |
Step 2: Multiply the numerators together and the denominators together. | |
Step 3: Convert the improper fraction into a mixed fraction. Do this by dividing the denominator into the numerator. The quotient is the whole number of the mixed fraction. The remainder is the new numerator. | |
Step 4: Reduce the fraction part of the mixed number to its reduced form. | |
Step 5: Write the answer. |
Program Instructions
Select the type of problem: There are four types of multiplication.
Follow these steps:
If a digit is incorrect the box will turn red. Only the answer fraction will decide if the work done is incorrect.
The answer must be reduced to simplest form.
If you need help with factors use the Factors link.
If you need help with multiplication, use Multiplication link.
Delay: The motion of the basketball player is controlled by your computer processor speed. If the player moves too fast make the number larger and click on Delay. If too slow, enter a smaller number and click on Delay.
Below the practice program is a program to help with factors.
Program Steps
Choose the problem type.
Convert each fraction to an improper fraction.
Multiply numerators and denominators together.
Convert the improper fraction into a mixed fraction (Divide denominator into numerator).
Simplify the fraction by finding the greatest common divisor and divide.
Click on Check Answer.
Fix errors if there are any, or choose a new problem by clicking on New Problem.