Instruction

1

When dividing fractions, multiply the first

When dividing fractions it is necessary to check that the second

Example 1: to divide 1/2 by 2/3

1/2 : 2/3 = 1/2 * 3/2 = (1 * 3) / (2 * 2) = 3/4, or

Example 2: split a/C to x/s

a/s : x/s = and/s * /x = (a*C)/(C*x) = a/x, where ? 0, x ? 0.

**(numerator) by the inverted second****fraction****(the divisor). Such****fraction****where the numerator and denominator are reversed is called reverse (to source).****a fraction**When dividing fractions it is necessary to check that the second

**and the denominators of both fractions are not equal to zero (or did not take zero values at certain values of parameters/variables/unknown). Sometimes, due to cumbersome fractions, it is very obvious. All values of variables (parameters), converting to zero the divisor (the second****fraction****) or denominators of fractions must be specified in the response.****fraction**Example 1: to divide 1/2 by 2/3

1/2 : 2/3 = 1/2 * 3/2 = (1 * 3) / (2 * 2) = 3/4, or

Example 2: split a/C to x/s

a/s : x/s = and/s * /x = (a*C)/(C*x) = a/x, where ? 0, x ? 0.

2

To divide mixed fractions, you need to bring them to the ordinary mind. Next, act as in claim 1.

To convert a mixed fraction to an ordinary mind it is necessary the whole part times the denominator and then add this product to the numerator.

Example 3: convert the mixed

2 2/3=(2 + 2*3)/3=8/3

Example 4: to divide

3 4/5 : 3/10 = (3*5+4)/5 :3/10 = 19/5 : 3/10 = 19/5 * 10/3 = (19*10)/(5*3)=38/3=12 2/3

To convert a mixed fraction to an ordinary mind it is necessary the whole part times the denominator and then add this product to the numerator.

Example 3: convert the mixed

**2 2/3 in common:****fraction**2 2/3=(2 + 2*3)/3=8/3

Example 4: to divide

**3 4/5 to 3/10:****fraction**3 4/5 : 3/10 = (3*5+4)/5 :3/10 = 19/5 : 3/10 = 19/5 * 10/3 = (19*10)/(5*3)=38/3=12 2/3

3

When dividing fractions, different types (mixed, decimal, common), all the fractions previously given to the ordinary mind. Further, according to claim 1. A decimal

Example 5: allow the decimal

since fractions are "mils" (thousandths 457), and the denominator will be equal to 1000:

3,457=3457/1000

Example 6: divide a decimal

1,5 : 1 1/2 = 15/10 : 3/2 = 15/10 * 2/3 = (15*2)/(10*3) = 30/30 = 1.

**is translated into common is very simple: the numerator is written decimal****fraction****without the decimal, and the denominator order fractions (tenths to ten, a hundred for hundredths, etc.).****fraction**Example 5: allow the decimal

**3,457 ordinary mind:****fraction**since fractions are "mils" (thousandths 457), and the denominator will be equal to 1000:

3,457=3457/1000

Example 6: divide a decimal

**to a mixed 1,5 1 1/2:****fraction**1,5 : 1 1/2 = 15/10 : 3/2 = 15/10 * 2/3 = (15*2)/(10*3) = 30/30 = 1.

4

When dividing two decimal fractions, both pre-multiplied by 10 to the extent that the divisor was a whole number. After dividing decimals "completely".

Example 7: 2,48/12,4=24,8/124=0,2.

If necessary (based on the conditions of the problem), you can find a multiplier value, to become whole as the divisor and the dividend. Then the task of dividing decimals is reduced to the division of integers.

Example 8: 2,48/12,4=248/1240=0,2

Example 7: 2,48/12,4=24,8/124=0,2.

If necessary (based on the conditions of the problem), you can find a multiplier value, to become whole as the divisor and the dividend. Then the task of dividing decimals is reduced to the division of integers.

Example 8: 2,48/12,4=248/1240=0,2