Division of Mixed Fractions By Mixed Fractions Math quiz exercise

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Mixed fractions are easy to divide against each other except that the process is lengthy. First the number has to be converted into a standard fraction, then invert the other fraction, and finally, multiply both the fractions such that numerator of the first fraction is multiplied with the denominator of the second fraction while the denominator of the first fraction will multiply with a numerator of the second fraction. The result has to be simplified by striking off the common factors between the numerator and denominator. With practice, the child will be able to feel comfortable in doing such problems and will pick the pace. Its fun for a child to solve these questions and would also master the skills slowly and steadily.

How to divide mixed fractions?

When you divide one mixed fraction by another mixed fraction, you are trying to find out how many times one fraction goes into another fraction. To divide mixed fractions, you need to use the following steps:

  1. Write the mixed fractions next to each other, with the one you are dividing by on the bottom.
  2. Change the second mixed fraction (the one on the bottom) into a whole number by multiplying the whole number part by the denominator and adding the numerator.
  3. Multiply the numerator of the first mixed fraction by the whole number from step 2.
  4. Divide the result from step 3 by the product of the numerator of the second mixed fraction and the denominator of the first mixed fraction.
  5. Simplify the fraction if possible.

For example, let’s say we want to divide 3 1/2 by 2 3/4: 3 1/2 / 2 3/4 First step, we change the mixed fraction 2 3/4 into a whole number by multiplying the whole number part (2) by the denominator (4) and adding the numerator (3). So 2 x 4 + 3 = 11 Second step, we multiply the numerator of the first mixed fraction (3) by the whole number from step 1 (11) = 33 Third step, we divide the result from step 2 (33) by the product of the numerator of the second mixed fraction (3) and the denominator of the first mixed fraction (4) = 33/12 Fourth Step, we simplify the fraction if possible, in this case the numerator and denominator share a factor of 3, so the final answer will be 33/12 = 11/4

It’s important to remember that when you divide mixed numbers, the answer will be a fraction rather than a mixed number. Also, when you divide 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.

Also, when you are dividing fractions, you should always invert the second fraction (the one on the bottom) and then multiply it by the first fraction. The Inverting means, you need to flip the numerator and denominator of the second fraction and multiply it by the first fraction.

Another way you can think of it is, you are dividing how many times one quantity goes into the other quantity.

Overall, division of mixed fractions by mixed fractions is a way to find out how many times one fraction goes into another fraction. It’s a bit more complex than just dividing whole numbers or normal fractions, but by following the steps outlined above, it can help you find the correct answer.