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QuestionHow do you multiply a hard fraction?Grace Imson, MAGrace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University.
Math TeacherTry to simplify the fractions as much as you can before multiplying them so you're working with smaller numbers. For example, 6/8 can be reduced down to 3/4. 
QuestionTess is 5 1/2 feet tall; Ben is 3/4 as tall as Tess. How do I calculate?DonaganTop AnswererChange the mixed number to an improper fraction, then multiply numerator times numerator and denominator times denominator. Simplify if possible.

QuestionHow do I multiply a fraction by a whole number?Community AnswerTo multiply fractions by a whole number, you just multiply the numerator (top number) by the whole. Once you find that, divide the numerator by the denominator (bottom number), and you get a decimal version of the answer. If you don't know how to convert decimals to fractions, you can look it up on wikiHow.

QuestionWhat if the denominator is different?Community AnswerIt doesn't matter if the denominator is different. Just multiply numerator by numerator and denominator by denominator.

QuestionHow do I multiply fractions with different denominators?Community AnswerUnlike adding and subtracting fractions, it doesn't matter if the denominators are different. Just multiply numerators by numerators, denominators by denominators, then simplify.

QuestionHow do I multiply three different fractions and then simplify?DonaganTop AnswererMultiply the three numerators together to get the resulting numerator. Multiply the three denominators together to get the resulting denominator. Simplify by canceling any factors that appear in both the numerator and denominator.

QuestionHow do I multiply mixed numbers?DonaganTop AnswererConvert each mixed number to an improper fraction, then multiply as shown in the above article. Convert the resulting improper fraction back to a final mixed number.

QuestionHow do I multiply a fraction with a negative fraction?DonaganTop AnswererMultiply as usual, and add a negative sign in front of the answer. For example, (½)(¼) = (1/8).

QuestionHow do I divide fractions with the same denominator?Community AnswerWhen dividing fractions, you get the second fraction, find the inverse (flip it) and multiply it by the first fraction. Example: 1/2 divided by 1/4 would become 1/2 * 4/1.

QuestionHow do I multiply fractions with high value denominators that cannot be simplified and are not the same?Community AnswerJust multiply the numerators to get the numerator and multiply the denominators to get the denominator. For multiplying and dividing, it makes no difference if the denominators are the same or not, nor does it matter how big or small they are. And you don't need to simplify anything before multiplying unless you can and want to. Just simplify the final answer if it can be simplified.

QuestionHow do I divide fractions?Community AnswerTo divide fractions you multiply by the reciprocal. For example: (x/y) / (z/a) = (x/y) * (a/z). The numerator and denominator of the second fraction are switched and then you multiply.

QuestionHow do I multiply mixed fractions?Neel DebnathCommunity AnswerFirst, multiply the whole numbers. Next, multiply the numerators. Lastly, multiply the denominators.

QuestionWhy does multiplication of fractions give less than the starting fractions?DonaganTop AnswererAnytime you multiply any number (including a fraction) by a proper fraction, you are multiplying by a number less than 1, which means the original number will become smaller. For instance, if you multiply by ½, that's the same as dividing by 2, so the original number will become half as large as it was.

QuestionWhat steps do I follow to multiply fractions with both common and different denominators?Community AnswerFor both scenarios: multiply the top numbers together to get the numerator, and then multiply the bottom numbers together to get the denominator. For example: 1/2 x 1/8 = 1x1 / 2x8 = 1/16

QuestionHow do I multiply a denominator in fraction 700.00(8/12)?DonaganTop AnswererIf the problem is (700.00)(8/12), first simplify the fraction to 2/3. Then multiply: (700.00)(2/3) = 1,400.00 / 3 = 466.67.

QuestionHow do I multiply similar fractions?Community AnswerIt doesn't matter weather the fractions are similar or not. Just multiply as shown.

QuestionHow do I solve 2/7  5/3 x 27/35?DonaganTop AnswererIf the problem is 2/7  (5/3 x 27/35), solve it like this: what's inside the parentheses can be rewritten (5)(3)(9) / (3)(5)(7), which simplifies by cancellation to 9/7. So the problem becomes 2/7  9/7, which equals 7/7, or 1.

QuestionHow do I divide two fractions if both are improper fractions?DonaganTop AnswererDo it the same as with proper fractions: invert the divisor and multiply.

QuestionIf the problem is 3/7 multiplied by 5/6, do I have to make the denominators equal, or do I just multiply like usual?DonaganTop AnswererMultiply as usual. You make the denominators equal only when you're adding and subtracting.

QuestionHow do I multiply a mixed fraction by a fraction, for example 5 over nine times 1 and 2 over nine?DonaganTop AnswererChange the mixed number to an improper fraction. Then multiply numerator by numerator and denominator by denominator. Simplify the product if possible.
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