 # Calculating With Fractions

## Adding, Subtracting, Multiplying and Dividing Fractions     Example 1 In this example the common dominator is 12 and both original fractions had to be converted. We have to apply the conversion operation to both the numerator and the denominator in order for the new fraction to be equivalent. We could simplify this fraction to make it 5/6. Example 2 In this example, we already have a common denominator. We only have to add the two numerators together to get the solution. Example 3 In this example, we were able to get the common denominator (8) by converting just 1 fraction. We could simplify this fraction to make it 3/4. Example 4 This example is a bit more complicated because we are adding 3 fractions together. However, the only difference is that we have to convert 3 fractions and add 3 numerators together to get the answer. Example 1 In this example, we convert the first fraction so that it has the common denominator (9) before subtracting the second fraction from it. Example 2 In this example, we have the 3 fractions in the expression. Fractions 2 and 3 are subtracted from fraction one after they have been converted to have the common denominator (8). Example 1 In this example, the numerators and denominators were times together to get the answer which was then simplified. (Remember to always try to cancel instead of simplifying as it is easier.) Example 2 In this example, the numerators and denominators were again multiplied. However, this time we are unable to cancel or simplify as the fraction is already i its simplest form. Example 1 In this division example, we invert the second fraction and then multiply the numerators and denominators. Finally we simplify it. (Always try to cancel when doing multiplication questions.) Example 2 In this example, we have again inverted the second fraction and multiplied both fractions together. As a result we have gotten a mixed number (or improper fraction). The solution was already in its simplest form so we are unable to cancel or simplify.
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