Instruction

1

Translate integer - "minuend" in the format improper fractions. To do this, in the numerator, put the number itself, and as a denominator, use one. Then bring the resulting ratio to the same denominator, which is used in the other shot - in "wikiteam". Do this by multiplying by the denominator of the deductible quantities on both sides of the slash reducing. For example, if 15 subtract 4/5, 15 need to convert so: 15 = 15/1 = (15*5)/(1*5) = 75/5.

2

Subtract from the numerator derived by the first step improper fractions the numerator of the fraction is subtracted. The resulting value will be above the fraction bar of the resulting ratio, under the line and place the denominator to subtract fractions. For example, for the model given in the previous step, the entire operation can be written as: 15 - 4/5 = 75/5 - 4/5 = (75-4)/5 = 71/5.

3

If the numerator of the calculated values are greater than the denominator (improper fraction), to better represent it in the form of a mixed fraction. To do this, divide the larger number by the smaller the obtained value with no residue and would be a part of it. In the numerator of the fractional part of the deliver remainder, and the denominator unchanged. After this transformation the result of the above-described example, needs to take a look: 15 - 4/5 = 71/5 = 14 1/5.

4

The above algorithm produces the result in the format of fractions, but it is often necessary to obtain a decimal fraction. It is possible to produce described in the first two steps of the operation, and then divide the numerator of the obtained fraction to its denominator, the resulting value will be a decimal fraction. For example: 15 - 4/5 = 71/5 = 14.2 deaths.

5

Alternatively, the first step to translate subtracted from the fraction in decimal format, that is to divide the numerator by the denominator. After this will take away the subtrahend from the minuend in any convenient way (in a column on the calculator, mental arithmetic). Then the example above can be written as: 15 - 4/5 = 15 - 0,8 = 14,2.

# Advice 2: How to convert a fraction

**A fraction**is a special form of writing rational numbers. It can be represented either in decimal and ordinary form. Conversion of fractions do the kids in the fifth grade, this operation is of great practical importance, which will be useful both in mathematics and in other fields of knowledge.

You will need

- Math book for 5th grade

Instruction

1

One of the transformations of fractions is their conversion from mixed to improper. Recall that a mixed number consists of a whole number and proper fraction. So, in order to do this conversion you need to:

1) Multiply the denominator of the fraction to the integer part.

2) To the received number, add the numerator.

3) Then the denominator is unchanged, and the numerator write down the number obtained in paragraph 2.Example: 2(3/7)= (14+3)/7= 17/7

1) Multiply the denominator of the fraction to the integer part.

2) To the received number, add the numerator.

3) Then the denominator is unchanged, and the numerator write down the number obtained in paragraph 2.Example: 2(3/7)= (14+3)/7= 17/7

2

Also, this conversion can be performed in another way:1) Submit a mixed fraction as a sum of its integer and fractional parts.

2) provide the integer part of an improper fraction with a denominator corresponding to the denominator of the fractional part of the mixed fraction.

3) Fold the right and improper fractions. The result is the required improper fraction.Example: 2(3/7)=2+3/7=14/7+3/7=(14+3)/7=17/7

2) provide the integer part of an improper fraction with a denominator corresponding to the denominator of the fractional part of the mixed fraction.

3) Fold the right and improper fractions. The result is the required improper fraction.Example: 2(3/7)=2+3/7=14/7+3/7=(14+3)/7=17/7

3

If You need to convert a common fraction to a decimal, then divide the numerator to its denominator. Example:

4/9=0,44444=0,(4)

1/4=0,25

It is worth to add that in division, the result may turn out as a finite (example 2), and infinite (example 1)Recall that a decimal fraction is a fraction, the denominator which contains a power of ten. Form of entry this type of shot, different from ordinary records. It first, write the number that should be in the numerator, and then move to the left a comma on a certain number of characters. This number corresponds to the discharge of the denominator. Example:

678/10=67,8

678/100=of 6.78

678/1000=of 0.678

678/10000=0,0678

4/9=0,44444=0,(4)

1/4=0,25

It is worth to add that in division, the result may turn out as a finite (example 2), and infinite (example 1)Recall that a decimal fraction is a fraction, the denominator which contains a power of ten. Form of entry this type of shot, different from ordinary records. It first, write the number that should be in the numerator, and then move to the left a comma on a certain number of characters. This number corresponds to the discharge of the denominator. Example:

678/10=67,8

678/100=of 6.78

678/1000=of 0.678

678/10000=0,0678

4

In order to make the transition from decimal fractions to common need:

1) take the integer part for the sign fraction.

2) Write in the numerator the number after the decimal point and the denominator of ten in the appropriate category.Example:

1) 23,65=23(65/10^2)=23(65/100)=23(13/20)

2) to 40.1=40(1/10)

1) take the integer part for the sign fraction.

2) Write in the numerator the number after the decimal point and the denominator of ten in the appropriate category.Example:

1) 23,65=23(65/10^2)=23(65/100)=23(13/20)

2) to 40.1=40(1/10)

5

Order of plain numbers to make a fraction, imagine that number in a private two numbers. The dividend, thus, will be the numerator and the divisor the denominator.Example:

8=16/2=8/1=24/3

8=16/2=8/1=24/3

Note

Carefully count the number of digits after the decimal point.

Useful advice

Remember rounding rules.

# Advice 3: How to put a fraction in Word

**Fraction**is one of the formula elements, to which input in a text Word processor there is a tool Microsoft Equation. With the help of it you can enter any complex mathematical or physical formulas, equations and other elements, including special characters.

Instruction

1

To run the tool Microsoft Equation you need to follow the address: "Insert" -> "Object", in the opened dialog box, on the first tab of the list to select Microsoft Equation and click OK or double click on the selected item. After starting the formula editor, you will see a toolbar and in the text field is displayed for entering formulas: rectangle with a dotted frame. The toolbar is divided into sections, each of them is a set of characters actions or expressions. When you click on one of the sections, will develop a list in it of tools. From the list that appears, select the desired symbol and click on it. Once selected, the specified character appears in the highlighted rectangle in document.

2

Section, which are the elements for writing fractions, is the second line of the toolbar. If you hover the mouse cursor, you will see a tooltip Templates fraction and radical". Click the section once to expand the list. In the popup menu, there are templates for fractions with a horizontal and a slash. Among the displayed options, you can choose the one that fits for your task. Click on the desired option. After clicking in the input field, which opened the document, you will see a slash and a space for entering the numerator and denominator, framed by a dotted line. The default cursor is automatically set in the input field of the numerator. Enter the numerator. In addition to numbers you can also enter mathematical symbols, letters, or signs of action. You can enter them from the keyboard and from the corresponding sections of the toolbar Microsoft Equation. After the water of the numerator, press the TAB key, navigate to the denominator. To go and click in the input box of the denominator. Once the formula is written, click with the mouse anywhere on the document, the toolbar closes, the input fractions will be completed. To edit the fraction, double-click it with the left mouse button.

3

If you open menu "Insert" -> "Object", in the list you have not found tool Microsoft Equation, it must be installed. Run the installation disk, disk image or file distribution Word. In the appeared window installer, choose Add or remove features. Add or remove individual components" and click "Next". In the next window, tick the "Advanced customization of applications". Click "Next". In the next window, look for the list of "Office Tools" and click on the plus sign to the left. In the ongoing list, we are interested in the "formula Editor". Click on the icon next to "equation Editor" and in the opened menu, click "Run from my computer". After that, click "Update" and wait until the installation of the required components.

# Advice 4: How to subtract fraction with different denominators

The main feature of the human mind is the ability to think abstractly. One of the highest forms of abstraction in the human world is the number. There are several categories of numbers, differing in properties. The most familiar and frequently used in everyday life are whole and real numbers. Usually numbers are written in decimal notation. Real numbers are indicated by decimal fractions. One of the drawbacks of recording decimals in decimal fractions is their limited accuracy. When accuracy is particularly important, numbers written as fractions (pair of the numerator-denominator). In some cases, the fraction is very convenient, but arithmetic with them is more complex than with decimal numbers. For example, to subtract

**fraction**with different**denominators**, we need to perform several mathematical operations.You will need

- Calculator or sheet of paper with a pen.

Instruction

1

Bring the fractions to a common denominator. Multiply the numerator and denominator of the first fraction by the denominator of the second. Multiply the numerator and denominator of the second fraction by the denominator of the first. For example, if the original fraction is equal to 6/7 and 5/11, what fraction, reduced to a common denominator will be equal 66/77 and 35/77. In this case, the numerator and denominator of the first fraction was multiplied by the number 11, and the numerator and denominator of the second fraction on the number 7.

2

Perform the subtraction of fractions. Subtract the numerator of the first fraction, the numerator of the second fraction. Record the resulting value as the numerator of the resulting fraction. As the denominator of the result of the substitute common denominator, obtained in the previous step. So, when we subtract fractions from fractions 66/77 values 35/77, will result 31/77 (from the numerator 66 was deducted from the numerator 35 and denominator by the same).

3

Perform a reduction of the fraction of the result, if necessary. Pick a greatest common divisor other than 1 for the numerator and denominator of the resulting fraction. Divided into the numerator and denominator. Write the new values in the numerator and denominator of the resulting fraction. The greatest common divisor other than 1 may not exist. In this case, leave as a result of the original

**roll**.