How to split a fraction into a fraction

Sometimes, when performing calculations, it is necessary to divide the fraction into a fraction. Moreover, fractions can have a different look. And with this, all sorts of difficulties can arise. But to deal with them can be elementary.

Instruction manual

one

In order to divide an ordinary fraction into an ordinary fraction, you need to multiply the first fraction by the "inverted" second fraction. Such an “inverted” ordinary fraction, where the numerator and denominator are interchanged, is called the inverse.

When dividing fractions, it is necessary to pay attention to the fact that the second fraction is not equal to zero. Sometimes, if the fraction has a rather bulky appearance, it is very difficult to do. In addition, the second fraction may contain some variables (unknown), which, at certain values, turn the fraction to zero. We also need to pay attention to those cases when the denominator of the second fraction vanishes. For actions with variables, all these cases must be indicated in the final answer.

For example: see fig. one

2

To divide a mixed fraction into a mixed, mixed fraction into ordinary or ordinary into mixed, you need to bring mixed fractions to an ordinary form. Then make the division as indicated in step 1.

To transfer a mixed fraction to an ordinary fraction, it is necessary to multiply the whole part of the mixed fraction by its denominator and add the resulting product to the numerator.

Example: see fig. 2

3

When dividing the decimal fraction by the ordinary (mixed) fraction or by dividing the ordinary (mixed) fraction by decimal, all fractions are reduced to the ordinary form. After that, the division is carried out according to step 1. To convert the decimal fraction to the ordinary one, we “throw out” the decimal point and write it in the numerator of the fraction, and in the denominator we write the unit and as many zeros as the digits to the right of the decimal point.

Example: see fig. 3

4

To divide two decimal fractions, you need to transfer the decimal point by so many digits to the right in the divisible and divisor so that an integer is obtained from the second fraction and divide the numbers obtained.

For example: 24.68 / 123.4 = 246.8 / 1234 = 0.2.

If at the same time there are "not enough" digits in the dividend for decimal point transfer, then the missing characters are replaced by zeros.

For example: 24.68 / 1.234 = 24680/1234 = 20

note

The divisor and denominators of fractions cannot equal 0.