How to translate the wrong fraction in the correct

Non-good mathematical rules and techniques, if they are not used constantly, forgotten faster. The terms go from the memory even faster.

One of these simple actions is the conversion of incorrect fraction in the correct or, differently - mixed.

1

Improper fraction

Incorrectly called a fraction, which has a numerator (number over a fractional feature) more or equal to the denominator (number under the line). Such a fraction is obtained by adding fractions or multiplying the fraction for an integer. According to the rules of mathematics, such a fraction must be transformed into the correct one.

2

Proper fraction

It is logical to assume that all other fractions are correct. Strict definition - the correct thing is called a fraction, which has a numerator less than the denominator. The fraction that has a whole part is sometimes called mixed.

3

Conversion of incorrect fraction in the correct

• The first case: the numerator and the denominator are equal to each other. As a result of the transformation of any such fraction, a unit will be able. It doesn't matter, three thirds or one hundred and twenty five hundred twenty-fifths. In fact, such a fraction indicates the action of the division of the number on itself.

• Second case: Numerator more denominator. Here you need to remember the method of dividing numbers with the residue.
  To do this, find the number closest to the value of the numerator, which is divided into denominator without a residue. For example, you have a fraction of nineteen third. The closest number that can be divided into three is eighteen. It turns out six. Now take away the number from the numerator. We get a unit. This is the balance. Write down the result of the conversion: six as many as one third.

But before the shot to give the right kind, you need to check whether it can be cut.
Reduction of fractions is possible if the numerator and denominator have a common divisor. That is a number that and that, and another divisible. If there are several subgroups, you need to find the largest.
For example, all even numbers have such a common divider - two. And the fraction of the sixteenth twelfth, there is another common divisor - the Four. This is the greatest divider. Divide the numerator and denominator for four. The result of the reduction: four thirds. And now, as a workout, convert this fraction in the correct one.