How to divide fraction into whole

How to divide fraction into whole

In a general view algorithm of division of common fractions is as follows: at first that fraction which is a divider is replaced with the return with it fraction (the numerator and a denominator are interchanged the position). Then multiplication of two fractions is made, and the result then received becomes simpler. If it is necessary to divide a common fraction into an integer, then this number should be presented in the form of a common fraction with the same denominator, and then to divide these two common fractions on a usual algorithm.

Instruction

1. Give a divider (integer) besides to a look in which the dividend (fraction) is written down. In a denominator of a divider put the same number which is used in a dividend denominator. And the denominator increased by this integer has to become numerator. For example, if it is necessary to divide fraction 8/15 into number 3, then the number should be transformed to fraction at which in a denominator will be 15, and in numerator 15 * 3 = 45, that is 45/15. Now the initial task came down to division of fraction 8/15 on fraction 45/15.

2. Increase a dividend (8/15) by fraction, the return to a divider, that is on 15/45. As at the first fraction number 15 costs in a denominator, and at the second - in numerator, they can be reduced to 1. As a result the initial task will come down to multiplication of fraction 8/1 on fraction 1/45.

3. Multiply numerators of fractions (8 * 1 = 8) and their denominators (1 * 45 = 45). So you receive result which can be written down in the form of a common fraction 8/45.

4. Divide result numerator into its denominator if the solution of a task has to be submitted not in the form of a common fraction, and in the form of decimal fraction. It is possible to divide in a column or just to use the calculator. If there is an Internet access, then it is possible to use, for example, the calculator which is built in the Google search engine. For this purpose pass to the website of the searcher and enter into the field of a search query "8 to divide into 45" or "8/45". It is not obligatory to press the button of sending request for the server, the answer to within nine signs you will see at once.

5. If only the result in a decimal form is important, and process of the decision does not matter, then it is possible to subcontract all necessary transformations of fractions and mathematical operations with them to the calculator of Google. From you it is only required to formulate and enter inquiry in the field of search. For example, for a task which is used as a sample in the previous steps the formulation of a search query has to be such: "8/15 to divide into 3". And the result which will show the calculator of Google will be equal to 0.177777778.

Author: «MirrorInfo» Dream Team


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