Rewriting a decimal fraction as a mixed fraction - Examples, Exercises and Solutions

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 fraction remainder
  3. Remainders
  4. Decimal Fractions
  5. Reducing and Expanding Decimal Numbers
  6. Converting a simple fraction to decimal - how to calculate?
  7. Addition and Subtraction of Decimal Numbers
  8. Comparison of Decimal Numbers
  9. 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

Convert into fraction form:

0.01= 0.01=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

001100 \frac{001}{100}

We'll then remove the unnecessary zeros as follows:

1100 \frac{1}{100}

Answer

1100 \frac{1}{100}

Exercise #2

Convert into fraction form:

0.04= 0.04=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

004100 \frac{004}{100}

We'll then remove the unnecessary zeros as follows:

4100 \frac{4}{100}

Answer

4100 \frac{4}{100}

Exercise #3

Convert into fraction form:

0.09= 0.09=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

009100 \frac{009}{100}

We'll then remove the unnecessary zeros as follows:

9100 \frac{9}{100}

Answer

9100 \frac{9}{100}

Exercise #4

Convert into fraction form:

0.11= 0.11=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

011100 \frac{011}{100}

Finally we will remove the unnecessary zeros as follows:

11100 \frac{11}{100}

Answer

11100 \frac{11}{100}

Exercise #5

Convert into fraction form:

0.17= 0.17=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

017100 \frac{017}{100}

Finally we'll remove the unnecessary zeros as follows:

17100 \frac{17}{100}

Answer

17100 \frac{17}{100}

Exercise #6

Convert into fraction form:

0.23= 0.23=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

023100 \frac{023}{100}

Let's then proceed to remove the unnecessary zeros as follows:

23100 \frac{23}{100}

Answer

23100 \frac{23}{100}

Exercise #7

Convert into fraction form:

0.38= 0.38=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

038100 \frac{038}{100}

We'll then remove the unnecessary zeros as follows:

38100 \frac{38}{100}

Answer

38100 \frac{38}{100}

Exercise #8

Convert into fraction form:

0.55= 0.55=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

055100 \frac{055}{100}

We'll then remove the unnecessary zeros as follows:

55100 \frac{55}{100}

Answer

55100 \frac{55}{100}

Exercise #9

Convert into fraction form:

0.33= 0.33=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We'll write the fraction in the following way:

033100 \frac{033}{100}

We'll then proceed to remove the unnecessary zeros as follows:

33100 \frac{33}{100}

Answer

33100 \frac{33}{100}

Exercise #10

Convert into fraction form:

0.06= 0.06=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We'll write the fraction like this:

006100 \frac{006}{100}

We'll then remove the unnecessary zeros as follows:

6100 \frac{6}{100}

Answer

6100 \frac{6}{100}

Exercise #11

Convert into fraction form:

0.65= 0.65=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction as follows:

065100 \frac{065}{100}

Finally We'll remove the unnecessary zeros as follows:

65100 \frac{65}{100}

Answer

65100 \frac{65}{100}

Exercise #12

Convert into fraction form:

0.02= 0.02=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction in the following way:

002100 \frac{002}{100}

We will then remove the unnecessary zeros as follows:

2100 \frac{2}{100}

Answer

2100 \frac{2}{100}

Exercise #13

Convert into fraction form:

0.06= 0.06=

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 zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction in the following way:

006100 \frac{006}{100}

We will then proceed to remove the unnecessary zeros and obtain the following:

6100 \frac{6}{100}

Answer

6100 \frac{6}{100}

Exercise #14

Write the following fraction as a decimal:

1100= \frac{1}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

1.0 1.0

Since the fraction divides by 100, we move the decimal point once to the left and get:

.010 .010

We'll add the zero before the decimal point and get:

0.010=0.01 0.010=0.01

Answer

0.01

Exercise #15

Write the following fraction as a decimal:

11100= \frac{11}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

11.0 11.0

Since the fraction divides by 100, we move the decimal point once to the left and get:

.110 .110

We'll add the zero before the decimal point and get:

0.110=0.11 0.110=0.11

Answer

0.11