why do we multiply numerators and denominators in fractions

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. To divide a number by a common fraction, you multiply by the reciprocal of the fraction. 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.

As an example, we will multiply three quarters by six ninths, eg: to display the Set Colours And Fonts Dialog Box. Make sure that this check box option is not signs, eg: 2. 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 button until the message: INSERT appears. Use a divide symbol: to enter the fraction. symbol, or some of the working steps will not be shown.

Maths. Click on the input box and type in the right hand fraction. Once again, be careful to use a / in the fraction, like this: 6/9 to multiply OR to divide (This multiplies by the reciprocal. ) To multiply the numerator and denominator factors separately, click so that both buttons are down. After completing these multiplying steps, click again so that both buttons are now up. Go back to step 2 to multiply or divide more common fractions. Lesson 8: Multiplying Fractions. The good news is you do not need a common denominator when multiplying fractions. improper fractions. numerators. denominators. if possible. simplify before calculating the final result.

This can be done if any numerator and denominator have common factors. only top numbers can cancel bottom numbers. In the example below you can cancel 14 and 7 (they have the common factor of 7), but you cannot cancel 14 and 2, because they are both numerators. We can write any whole number as a fraction with a denominator of 1.

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why do you multiply fractions straight across
why do we multiply by the reciprocal when dividing fractions
why do you invert and multiply when dividing fractions