How do i put a mixed number into a decimal?????

Answer 1

make the mixed fraction an improper fraction and then divide the numerator into the denomonator and then move the decimal over to the left 2 places.

Answer 2

What is a "decimal"?

A "decimal" is a fraction whose denominator we do not write but which we understand to be a power of 10.
The number of decimal places indicates the number of zeros in the denominator.



The number of decimal places is the number of digits to the right of the decimal point. (Lesson 3, Question 4.)



Example 1.

.8 = 8
10 One decimal place; one 0 in the denominator.
.08 = 8
100 Two decimal places; two 0's in the denominator.
.008 = 8
1000 Three decimal places; three 0's in the denominator.
And so on.



The number of decimal places indicates the power of 10.


Example 2. Write as a decimal: 614
100,000
Answer. 614
100,000 = .00614

Five 0's in the denominator indicate five digits after the decimal point.

The five 0's in the denominator is not the number of 0's in the decimal!

Alternatively, in Lesson 10 we introduced the division bar, and in Lesson 3 we saw how to divide a whole number by a power of 10.

614
100,000 = 614 ÷ 100,000 = .00614

Separate five decimal places.

Example 3. Write this mixed number as a decimal: 6 49
100
Answer. 6 49
100 = 6.49

The whole number 6 does not change. We simply replace the

common fraction 49
100 with the decimal .49

Example 4. Write this mixed number with a common fraction: 9.0012
Answer. 9.0012 = 9 12
10,000

Again, the whole number does not change. We replace the decimal

.0012 with the common fraction 12
10,000 .

The decimal .0012 has four decimal places. The denominator 10,000 is a 1 followed by four 0's.

This accounts for fractions whose denominator is already a power of 10.


2. If the denominator is not a power of 10, how can we change the fraction to a decimal?

Make the denominator a power of 10 by multiplying it or dividing it.



Example 1. Write 9
25 as a decimal.

Solution. 25 is not a power of 10, but we can easily make it a power of 10 -- 100 -- by multiplying it by 4. The numerator, then, must also be multiplied by 4.

Example 2. Write 4
5 as a decimal.
Solution. 4
5 = 8
10 = .8

We can make 5 into 10 by multiplying it -- and 4 -- by 2.


Example 3. Write as a decimal: 7
200
Answer. 7
200 = 35
1000 = .035

We can make 200 into 1000 by multiplying it -- and 7 -- by 5.

Alternatively, according to the properties of division,

7
200 = _ 7 _
2 × 100 = 3.5
100 , on dividing 7 by 2,

= .035, on dividing 3.5 by 100.
Example 4. Write as a decimal: 8
200
Answer. 8
200 = 4
100 = .04

Here, we can change 200 into a power of 10 by dividing it by 2. We can do this because 8 also is divisible by 2.

Or, again,

8
200 = _ 8 _
2 × 100 = 4
100 = .04
Example 5. Write as a decimal: 12
400
Answer. 12
400 = 3
100 = .03

400 can be changed to 100 by dividing it -- and 12 -- by 4.

To summarize: We go from a larger number to a smaller by dividing (Examples 4 and 5); from a smaller number to a larger by multiplying (Example 3).



Frequent decimals

The following fractions come up frequently. The student should know their decimal equivalents.

1
2 1
4 3
4 1
8 3
8 5
8 7
8

Let us begin with 1
2 .

1
2 = 5
10 = .5 or .50

Next, 1
4 . But 1
4 is half of 1
2 .



Therefore, its decimal will be half of .50 --

1
4 = .25
And since 3
4 = 3 × 1
4 , then
3
4 = 3 × .25 = .75

Next, 1
8 . But 1
8 is half of 1
4 .



Therefore, its decimal will be half of .25 or .250 --

1
8 = .125

The decimals for the rest of the eighths will be multiples of .125.

Since 3 × 125 = 375,

3
8 = 3 × .125 = .375

Similarly, 5
8 will be 5 × 1
8 = 5 × .125.

5 × 125 = 5 × 100 + 5 × 25 = 500 + 125 = 625.

(Lesson 8) Therefore,

5
8 = .625

Finally, 7
8 = 7 × .125.

7 × 125 = 7 × 100 + 7 × 25 = 700 + 175 = 875.

Therefore,

7
8 = .875

These decimals come up frequently. The student should know how to generate them quickly.

The student should also know the decimals for the fifths:

1
5 = 2
10 = .2

The rest will be the multiples of .2 --

2
5 = 2 × 1
5 = 2 × .2 = .4

3
5 = 3 × .2 = .6

4
5 = 4 × .2 = .8
Example 1. Write as a decimal: 8 3
4
Answer. 8 3
4 = 8.75

The whole number does not change. Simply replace the common

fraction 3
4 with the decimal .75.

Example 2. Write as a decimal: 7
2

Answer. First change an improper fraction to a mixed number:

7
2 = 3 1
2 = 3.5

"2 goes into 7 three (3) times (6) with 1 left over."

Then repalce 1
2 with .5.

Example 3. How many times is .25 contained in 3?

Answer. .25 = 1
4 . And 1
4 is contained in 1 four times. (Lesson 19.)
Therefore, 1
4 , or .25, will be contained in 3 three times as many times. It will

be contained 3 × 4 = 12 times.



Example 4. How many times is .125 contained in 5?

Answer. .125 = 1
8 . And 1
8 is contained in 1 eight times. Therefore, 1
8 ,

or .125, will be contained in 5 five times as many times. It will be contained 5 × 8 = 40 times.



Frequent percents

From the decimal equivalent of a fraction, we can easily derive the percent: move the decimal point two places right (Lesson 3.) Again, the student should know these. They come up frequently.

1
2 = .50 = 50%

1
4 = .25 = 25%

3
4 = .75 = 75%

1
8 = .125 = 12.5% (Half of 1
4 .)

3
8 = .375 = 37.5%

5
8 = .625 = 62.5%

7
8 = .875 = 87.5%

1
5 = .2 = 20%

2
5 = .4 = 40%

3
5 = .6 = 60%

4
5 = .8 = 80%

In addition, the student should know

1
3 = 33 1
3 %

2
3 = 66 2
3 %

(Lesson 15)

Example. Write as a decimal: 6 3
4 .
Answer. 6 3
4 = 6.75. Simply replace the fraction 3
4 with the decimal .75

Answer 3

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RE:
How do i put a mixed number into a decimal?????

Answer 4

ok if its like 2 1/2 muliply the bottom by the side number and add the one on top and put it over the bottom number

2x2+1= 5

so now you have 5/2 then you change it to a decimal (5 divided by 2)

Answer 5

take the fraction of the mixed number and turn the mixed number into an improper fraction which is where the numerator(top number) is bigger than the denominator(bottom number) and on a calculator divide the numerator by the denominator

Answer 6

convert the fraction part to a decimal by doing long division. (or use a calculator). Then add it to the whole part.

For instance:
5 1/2 = 5 + 1/2 = 5 + 0.5 = 5.5

Answer 7

take the whole number plus the number after you take the numerator divided by the denominator.
Or, take the whole number times denominator and add numertor.
after that, take the numerator divided by the denominator.

Answer 8

divide the fraction part of the mixed number and then add the whole number to it

Answer 9

divide the fraction and next is you add the whole number.

Answer 10

convert it back into an improper fraction and divide the numerator over the denominator.