Multiplication Of Mixed Fractions free online Math quizzes

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In this quiz, questions ask the child to multiply two mixed fractions. In order to proceed further, the mixed fractions have to be converted into the standard improper fraction. Once they are converted the respective fields have to multiplied i.e. numerator of the first fraction with the numerator of the second fraction and the denominator of the first with the second. The resulting fraction has to be simplified if there exists any common factor between numerator and denominator. This quiz is a good place for the kids to enhance the knowledge they possess on mixed fractions and multiplications.

Learn to multiply mixed fractions

Multiplication of mixed fractions is a way to find a new quantity when you multiply two or more mixed fractions together. To multiply mixed fractions, you need to use the following steps:

  1. Write the mixed fractions next to each other.
  2. Multiply the whole number part of the first mixed fraction by the numerator (the top number) of the second mixed fraction.
  3. Multiply the numerator (the top number) of the first mixed fraction by the whole number part of the second mixed fraction.
  4. Add the results from steps 2 and 3.
  5. Multiply the numerator of the first mixed fraction by the numerator of the second mixed fraction.
  6. Multiply the denominator (the bottom number) of the first mixed fraction by the denominator of the second mixed fraction.
  7. Put the result from step 5 over the result from step 6, to get your final answer.

For example, let’s say we want to multiply 2 1/2 by 3 3/4: 2 1/2 x 3 3/4 First step, We will multiply 2 by 4 (whole number part of 2 1/2 and numerator of 3 3/4) = 8 Second Step, We will multiply 1/2 by 3 (whole number part of 3 3/4 and numerator of 2 1/2) = 3/2 Third step, We add 8 and 3/2 = 8 3/2 Fourth Step, We multiply 1/2 by 3/4 = 3/8 Fifth Step, We add the whole number part 8 and the fraction part 3/8, the final answer will be 8 3/8

Another example, 5 3/4 x 3 2/5 = (5×2) + (5×5/4) + (3/4 x 3) + (3/4 x 2/5) = 10 + 6.25 + 9/4 + 6/20 = 10 + 6.25 + 9/4 + 3/10 = 10 + 6.25 + 9/4 + 3/10 = 16.25 + 27/20 = 16.25 + 27/20 = 16 25/20

It’s important to remember that when you multiply mixed numbers, the answer will also be a mixed number. So when we do 2 1/2 x 3 3/4, the answer is 8 3/8.

Another thing to keep in mind is when you want to multiply mixed fractions you can break it down into a normal fraction by multiplying whole number part by the denominator and add it to numerator. Then you can multiply it with other fraction

Also, when you multiply mixed fractions, it’s important to simplify the final answer as much as possible by finding a common denominator and dividing both the numerator and denominator by any common factors they may have.

Overall, Multiplication of mixed fractions is a way to find out how much of a quantity you will have if you multiply different fractions that have whole number and fraction parts. It’s a bit more complex than just multiplying whole numbers by fractions, but by following the steps outlined above, it can help you find the correct answer.