
How to multiply and divide common fractions.
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Theory: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. Method: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 optionsClick 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 fractionClick 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
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Â 3/4 Â Â Â and then click Step 3Â Enter the right hand fractionClick 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 ÂClick 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 factorsTo 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.
