Multiplying FractionsThree basic steps are forced to multiply two fractions:Step 1: main point the molecule from each fraction by each other (the number on top). The result is the molecule of the answer.Step 2: main point the denominators of each fraction by each various other (the numbers on the bottom). The an outcome is the denominator of the answer.Step 3: simplify or minimize the answer.Examples of multiplying fractions:
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In the very first example you can see that we multiply the molecule 2 x 6 to acquire the molecule for the answer, 12. We likewise multiply the platform 5 x 7 to gain the denominator for the answer, 35.In the second example we use the exact same method. In this problem the price we obtain is 2/12 which can be further reduced to 1/6.Multiplying Different species of FractionsThe examples above multiplied proper fractions. The same process is offered to main point improper fractions and mixed numbers. There space a couple of things to watch out for with these other varieties of fractions.Improper fractions - v improper fountain (where the numerator is better than the denominator) you may need to adjust the answer right into a blended number. Because that example, if the answer you acquire is 17/4, her teacher might want friend to readjust this to the blended number 4 ¼.Mixed number - mixed numbers are numbers that have a whole number and a fraction, favor 2 ½. Once multiplying blended numbers you need to readjust the mixed number right into an improper fraction before girlfriend multiply. For example, if the number is 2 1/3, girlfriend will need to readjust this come 7/3 before you multiply.You may additionally need to change the answer back to a mixed number when you are done multiplying.


You are watching: To multiply two fractions, multiply the numerator by the and the denominator by the .

Example:
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In this example we had actually to readjust 1 ¾ to the portion 7/4 and also 2 ½ come the portion 5/2. We also had to convert the multiplied answer come a blended number in ~ the end.Dividing FractionsDividing fountain is very similar to multiplying fractions, you even use multiplication. The one adjust is that you have to take the reciprocal of the divisor. Then you continue with the trouble just together if you were multiplying.Step 1: take the mutual of the divisor.Step 2: multiply the numerators.Step 3: main point the denominators.Step 4: simplify the answer.Taking the reciprocal: To get the reciprocal, invert the fraction. This is the very same as acquisition 1 divided by the fraction. For example, if the portion is 2/3 then the reciprocal is 3/2.Examples:
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