Converting a decimal to a mixed number

To convert a decimal fraction to a mixed fraction,
we ask ourselves how to read the decimal fraction or in other words, what the last digit represents –
if we use the word tenths – we place 10 in the denominator
if we use the word hundredths – we place 100 in the denominator
if we use the word thousandths – we place 1000 in the denominator

The number itself – everything that appears after the decimal point, we place in the numerator.
The whole number in the decimal fraction, we add to the mixed fraction as the whole number in the mixed fraction.

Converting a Decimal Fraction to a Mixed Number

Suggested Topics to Practice in Advance

  1. What is a Decimal Number?
  2. Decimal Fractions
  3. Reducing and Expanding Decimal Numbers
  4. Addition and Subtraction of Decimal Numbers
  5. Comparison of Decimal Numbers
  6. Converting Decimals to Fractions

Practice Rewriting a decimal fraction as a mixed fraction

Examples with solutions for Rewriting a decimal fraction as a mixed fraction

Exercise #1

Write the following fraction as a decimal:

9310= \frac{93}{10}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

93.0 93.0

Since the fraction is divisible by 10, we move the decimal point once to the left and get:

9.30=9.3 9.30=9.3

Answer

9.3

Exercise #2

Write the following fraction as a decimal:

4510= \frac{45}{10}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

45.0 45.0

Since the fraction is divisible by 10, we move the decimal point once to the left and get:

4.50=4.5 4.50=4.5

Answer

4.5

Exercise #3

Write the following fraction as a decimal:

2210= \frac{22}{10}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

22.0 22.0

Since the fraction is divisible by 10, we'll move the decimal point once to the left and get:

2.20=2.2 2.20=2.2

Answer

2.2

Exercise #4

Write the following fraction as a decimal:

1810= \frac{18}{10}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

18.0 18.0

Since the fraction is divisible by 10, we move the decimal point once to the left and get:

1.80=1.8 1.80=1.8

Answer

1.8

Exercise #5

Write the following fraction as a decimal:

1710= \frac{17}{10}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

17.0 17.0

Since the fraction is divisible by 10, we move the decimal point once to the left and get:

1.70=1.7 1.70=1.7

Answer

1.7

Exercise #6

Write the following fraction as a decimal:

1610= \frac{16}{10}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

16.0 16.0

Since the fraction is divisible by 10, we move the decimal point once to the left and get:

1.60=1.6 1.60=1.6

Answer

1.6

Exercise #7

Write the following fraction as a decimal:

1510= \frac{15}{10}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

15.0 15.0

Since the fraction is divisible by 10, we move the decimal point once to the left and get:

1.50=1.5 1.50=1.5

Answer

1.5

Exercise #8

Write the following fraction as a decimal:

1410= \frac{14}{10}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

14.0 14.0

Since the fraction is divisible by 10, we'll move the decimal point once to the left and get:

1.40=1.4 1.40=1.4

Answer

1.4

Exercise #9

Write the following fraction as a decimal:

1310= \frac{13}{10}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

13.0 13.0

Since the fraction is divisible by 10, we move the decimal point once to the left and get:

1.30=1.3 1.30=1.3

Answer

1.3

Exercise #10

Write the following fraction as a decimal:

1210= \frac{12}{10}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

12.0 12.0

Since the fraction is divisible by 10, we move the decimal point once to the left and get:

1.20=1.2 1.20=1.2

Answer

1.2

Exercise #11

Write the following fraction as a decimal:

710= \frac{7}{10}=

Video Solution

Step-by-Step Solution

Write the simple fraction in decimal form

7.0 7.0

Since the fraction is divisible by 10, move the decimal point one place to the left and get:

.7 .7

Let's add the zero to the left of the decimal point and get:

0.7 0.7

Answer

0.7

Exercise #12

Write the following fraction as a decimal:

510= \frac{5}{10}=

Video Solution

Step-by-Step Solution

Write the simple fraction in decimal form

5.0 5.0

Since the fraction is divided by 10, move the decimal point one place to the left and get:

.5 .5

Complete the zero to the left of the decimal point and get:

0.5 0.5

Answer

0.5

Exercise #13

Write the following fraction as a decimal:

9310= \frac{93}{10}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

93.0 93.0

Since the fraction is divisible by 10, we'll move the decimal point once to the left and get:

9.3 9.3

Answer

9.3

Exercise #14

61000= \frac{6}{1000}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction:

6.0 6.0

Since the fraction divides by 1000, we move the decimal point three places to the left:

.0060 .0060

We fill in the zero before the decimal point and get:

0.0060=0.006 0.0060=0.006

Answer

0.006

Exercise #15

0.171= 0.171=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the decimal point represents tenths

Two numbers after the decimal point represent hundredths

Three numbers after the decimal point represent thousandths

And so on

In this case there are three numbers after the decimal point so the number is divided by 1000

Write the fraction in the following way:

01711000 \frac{0171}{1000}

We will remove the extra zeros and get:

1711000 \frac{171}{1000}

Answer

1711000 \frac{171}{1000}