How to multiply and divide common fractions.
When multiplying two common fractions, the procedure is to multiply the numerators and denominators separately and then simplify the resulting fraction.
eg:Â Â Â Â Â Â Â
To divide a number by a common fraction, you multiply by the reciprocal of the fraction.
eg: Â Â Â Â Â Â
Algematics will multiply or divide two common fractions and then simplify the answer to its lowest terms.
The steps below demonstrate how to multiply or divide common fractions showing working.
NOTE: To multiply or divide mixed numbers, first convert to common fractions.Â
As an example, we will multiply three quarters by six ninths, eg:
Step 1Â Set display options
Click Â to display the ‘Set Colours And Fonts’ Dialog Box.
Make sure that this check box option is not selected:
o Use ¸ signs, eg: 2¸a
and then click Â .
Step 2Â Enter the left hand fraction
Click Â and type your expression into the maths box in the data entry box.
If the ‘EMPTY’ message is not displayed between the blue buttons, click the Â button until the message: ‘INSERT’ appears.
Use a divide symbol: ‘ /
’ to enter the fraction.
Â Â Â Â Â Â
and then click
Step 3Â Enter the right hand fraction
Click on the input box and type in the right hand fraction.
Â Â Â Â Â Â Â Â
Step 4Â Multiply or divide the two fractionsÂ Â Â Â Â Â Â
Click Â to multiply the two fractions:Â
ORÂ click Â to divide the two fractions: (This multiplies by the reciprocal.)
Step 5Â Multiply the numerator and denominator factors
To multiply the numerator and denominator factors separately, click Â and then Â so that both buttons are down.
Now click the Â (simplify) button twice so that both the numerator and denominator are multiplied:
After completing these multiplying steps, click Â and Â again so that both buttons are now up.
Â Click the Â (simplify) button once more to reduce the answer to its lowest terms:
Â Go back to step 2 to multiply or divide more common fractions.