How do you turn a decimal into a mixed number?

Answer 1

Converting mixed numbers to decimals A mixed number is one containing a whole number and a fraction, such as 3 1/3 (three and one third) or 2 3/5 (two and three fifths). Converting mixed numbers to decimals is nothing more complicated than converting any fraction to a decimal. The whole number part of the mixed fraction will convert directly to the part of the decimal to the left of the decimal point. The fractional part, however, is more trouble, because that represents the part of the decimal to the right of the decimal point. To do that conversion, you need to know your fraction/decimal equivalents by rote (that is, you have to have them memorized), or you need to be able to do simple division. You should have certain proper fractions memorized. Here's a short list of the most important ones. 1/2 = 0.5 1/3 = 0.333 1/4 = 0.25 1/5 = 0.2 1/6 = 0.167 1/7 = 0.143 1/8 = 0.125 1/9 = 0.111 1/10 = 0.1 3/8 = 0.325 5/8 = 0.625 Therefore, 3 3/8 = 3.325. And 2 1/5 = 2.2. Note that you can quickly figure out in your head fractions that are multiples of the ones listed. For example, if you know that 1/3 = 0.333, you can know that 2/3 must be 0.666. Similarly, if you know that 1/5 is 0.2, you know that 2/5 is 0.4, 3/5 is 0.6, and 4/5 is 0.8. On the other hand, some fractions must be calculated using division because they are not worth committing to memory. If the fraction is 7/11, then you will have to use paper and pencil or a calculator to divide 7 by 11 (which is 0.636). So, 3 7/11 (three and seven elevenths) = 3.636.

Change it into an improper fraction and then divide the numerator by the denominator as for example 3 and 3/4 = 15/4 = 3.75
Change it into an improper fraction and then divide the numerator by the denominator as for example 3 and 3/4 = 15/4 = 3.75
Convert the mixed number to an improper fraction, then divide the denominator into the numerator.

Answer 2

A mixed number is one containing a whole number and a fraction, such as 3 1/3 (three and one third) or 2 3/5 (two and three fifths). Converting mixed numbers to decimals is nothing more complicated than converting any fraction to a decimal. The whole number part of the mixed fraction will convert directly to the part of the decimal to the left of the decimal point. The fractional part, however, is more trouble, because that represents the part of the decimal to the right of the decimal point. To do that conversion, you need to know your fraction/decimal equivalents by rote (that is, you have to have them memorized), or you need to be able to do simple division.

Express the decimal as a mixed number and then simplify, if possible, the fraction part of the number.

EXAMPLE : 11.375 = 11375/1000

375/1000 can be simplified to the equivalent fraction 3/8

11.375 = 11375/1000 = 11 and 3/8
The simple answer is to write the decimal portion as a fraction over the decimal place

i.e. 9.25 is actually

9 + 25/100

Which you can see quickly reduces to 1/4. Thus,

9.25 = 9 1/4

For longer decimal segments, use the place to which it expands

i.e. 9.125 is actually

9 + 125/1000 (since the decimal is taken to the thousandths place)

which factors down to 1/8. Thus,

9.125 = 9 1/8.

Answer 3

Step 1: Write the digits right of the decimal as an integer. This is your numerator.

Step 2: Count the number of digits to the right of the decimal, then take 10 to this power. This number will be your denominator.

Step 3: reduce your new fraction, if possible.

EXAMPLE:

Write 12.125 as a mixed number.

numerator = 125

denominator = 103 (3 digits right of the decimal)

= 1000

125/1000 reduces to 1/8, so 12.125 = 12 1/8