Any decimal can be converted back to a mixed number. To do this, all you need to know is how to read decimals.

For example, let's convert 6.3 to a mixed number. 6.3 is six integers and three tenths. Let's write down six integers first:

6

and next to three tenths:

1918


Example 2. Convert a decimal 3.002 to a mixed number

3.002 is three integers and two thousandths. We first write down three integers

3

and next to it write down two thousandths:

3 1991


Example 3. Convert a decimal 4.50 to a mixed number

4.50 is four whole and fifty hundredths. Write down four integers

4

and next to fifty hundredths:

1983

By the way, let's recall the last example from the previous thread. We said that the decimals 4.50 and 4.5 are equal. We also said that zero can be discarded. Let us prove that decimals 4.50 and 4.5 are equal. To do this, convert both decimals to mixed numbers.

After converting to a mixed number, the decimal 4.50 is converted to 1983, and the decimal 4.5 is converted to 19101

We have two mixed numbers 1983 and 19101. Convert these mixed numbers into improper fractions:

19102

19103

Now we have two fractions 19104 and 19105. Now remember the basic property of fractions, which says that when you multiply (or divide) the numerator and denominator of a fraction by the same number, the value of the fraction does not change.

Let's divide the numerator and denominator of the first fraction 19104 by the number 10

19106

We got 19105, and this is the second fraction. So 19104 and 19105 are equal to each other and equal to the same value:

19104 = 19105

Try using a calculator to first divide 450 by 100 and then 45 by 10. It's a funny thing to do.


Video lesson

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