Advice 1: How to solve fractions 5th grade

In the 5th grade middle school introduces the concept of fractions. A fraction is a number consisting of a whole number of share units. Fractions are written in the form ±m/n, the number m is called the numerator, the number n of its denominator.
If the module of the denominator is greater the numerator of the module, such as 3/4, the fraction is called proper, otherwise improper. A fraction may contain the integer part, for example 5 * (2/3).
To fractions, you can apply different arithmetic.
How to solve fractions 5th grade
Bringing to a common denominator.

I suppose that fractions a/b and c/d.

- First and foremost is the number of knock(least common multiple) for the denominators of the fractions.

- The numerator and denominator of the first fraction is multiplied by the NOC/b

- The numerator and denominator of the second fraction is multiplied by the NOC/d

An example is shown in the figure.

To compare fractions, they must lead to a common denominator, then compare the numerators. For example, 3/4 < 4/5, see figure.
How to solve fractions 5th grade
Addition and subtraction of fractions.

To find the sum of the two fractions need to be brought to a common denominator, then put the numerators, leaving the denominator unchanged. Example of addition of fractions 1/2 and 1/3 are shown in Fig.

The difference of the fractions is the same way, after finding a common denominator, the numerators of the fractions are subtracted, see the example in the figure.
How to solve fractions 5th grade
Multiplication and division of fractions.

When multiplying fractions, the numerators and denominators are multiplied together.

In order to divide two fractions, you need to roll back the second fraction, i.e. to change its numerator and denominator reversed, and then multiplying the obtained fractions.
How to solve fractions 5th grade

Advice 2: How to learn to solve fractions

Fractions allow us to Express in different forms the exact value of. With fractions you can perform the same math operation and with whole numbers: addition, subtraction, multiplication, and division. To learn how to solve fractions, it is necessary to remember about some of their features. They depend on the type of shot, the presence of an intact part that common denominator. Some arithmetic operation after performing require a reduction of the fractional part of the result.
How to learn to solve fractions
You will need
  • calculator
Look closely at these numbers. If some fractions have decimal and narvilene, it is sometimes easier to first perform operations on decimal, and then convert them into the wrong kind. Translate fraction in the species initially recorded value after the decimal point in the numerator and putting a 10 in the denominator. If necessary, simplify the fraction by dividing the number above and below the line on one divider. Fraction, which is a part, lead to the wrong kind, multiplying it by the denominator and adding the result to the numerator. This value will become the new numerator of the fraction. To highlight a part of the original improper fraction, we must divide the numerator by the denominator. A result record to the left of the fractions. And the remainder becomes the new numerator, the denominator of the fraction is not changed. For fractions with integer part may perform actions separately, first for a and then for the decimal parts. For example, the sum of 1 2/3 and 2 ¾ can be calculated in two ways:
- The transfer of the fractions in improper form:
- 1 2/3 + 2 ¾ = 5/3 + 11/4 = 20/12 + 33/12 = 53/12 = 4 5/12;
Summation of separate integral and fractional parts of terms:
- 1 2/3 + 2 ¾ = (1+2) + (2/3 + ¾ ) = 3 +(8/12 + 9/12) = 3 + 17/12 = 3 + 1 5/12 = 4 5/12.
For improper fractions with different values under the dash, find the common denominator. For example, 5/9 and 7/12 common denominator will be 36. To do this, the numerator and denominator of the first fraction should be multiplied by 4 (it will 28/36) and second on 3 (get 15/36). Can now perform the necessary calculations.
If you are going to calculate the sum or difference of fractions, first record found the common denominator under the line. Perform the required actions in between the numerators and write the result above the line of the new fraction. Thus, the new numerator will be the difference or the sum of the numerators of the original fractions.
To calculate the product of the fractions multiply the numerators of the fractions and write the result in place of the numerator of the final fraction. Do the same for the denominators. When dividing one fraction to another write down one fraction, and then multiply the numerator by the denominator of the second. The denominator of the first fraction is multiplied respectively to the numerator of the second. Thus there is a kind of revolution of the second fraction (divisor). The resulting fraction will consist of the results of multiplying the numerators and denominators of both fractions. It is easy to learn how to solve fractionsrecorded in the condition in the form of "four-storied" fraction. If a trait is shared by the two fractions, rewrite them using the delimiter ":" and continue with the usual division.
To obtain the final result, reduce the fraction, divide the numerator and the denominator by a single integer, the largest possible in this case. While above and below this line must be integers.
Do not perform arithmetic operations with fractions, the denominators are different. Choose a number that when multiplied by it, the numerator and denominator of each fraction in the result, the denominators of both fractions were equal.
Useful advice
When writing fractional numbers the numerator is written above the line. This value is referred to as the numerator of the fraction. Below the line is written to the divisor, or denominator, of the fraction. For example, half a kilogram of rice as a fraction written in the following way: 1 ½ kg of rice. If the denominator is equal to 10, such a fraction is called a decimal. The numerator (dividend) is written to the right of the integer part using a comma: 1.5 kg of rice. For computational convenience, such a fraction can always be written in an incorrect form: 1 2/10 kg of potatoes. To simplify, you can reduce the values of the numerator and denominator by dividing them into a single integer. In this example, perhaps dividing by 2. The result is a 1 1/5 kg of potatoes. Make sure that the numbers that you are going to perform arithmetic operations, presented in the same form.
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