Converting Decimal Fractions to Simple Fractions and Mixed Numbers - Examples, Exercises and Solutions

Question Types:
Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Comparison to simple fractionsConverting Decimal Fractions to Simple Fractions and Mixed Numbers: Conversion from non-round denominatorConverting Decimal Fractions to Simple Fractions and Mixed Numbers: Conversion - greater than 1Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Convert a decimal to a fraction with 100 as its denominatorConverting Decimal Fractions to Simple Fractions and Mixed Numbers: Convert a fraction with a denominator greater than 100 to a decimalConverting Decimal Fractions to Simple Fractions and Mixed Numbers: Convert a fraction with a denominator of 10 to a decimalConverting Decimal Fractions to Simple Fractions and Mixed Numbers: Convert a fraction with a denonimator of 100 to a decimalConverting Decimal Fractions to Simple Fractions and Mixed Numbers: Converting to a fraction in its simplest formConverting Decimal Fractions to Simple Fractions and Mixed Numbers: Find the missing numberConverting Decimal Fractions to Simple Fractions and Mixed Numbers: From a decimal to a denominator of 10Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Graphical representationConverting Decimal Fractions to Simple Fractions and Mixed Numbers: Simple conversion to denominator 10, 100, 1000Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Solving the problem

Converting a simple fraction to decimal - how to calculate?

So how do we convert a simple fraction to a decimal fraction? First, we can reassure you by saying that the answer is: quite easily. All you need is to understand the technique, and mainly to understand the meaning of the decimal fraction. First, what do decimal fractions look like? They appear in the following form: 0.5, 3.6, and so on. Or in other words: "the fraction with the point".

In fact, there is a point that creates the boundary between the whole number and the fraction. To convert a simple fraction to a decimal fraction, you need to choose a denominator: 10, 100, or 1000. So how can you also convert "simple" fractions to decimal fractions? Pay attention:

Basic fraction data:

  • The line that separates between two different numbers is called the fraction line.
  • The top part of the fraction - numerator.
  • The bottom part of the fraction - denominator.

Note that when we convert a "classic" simple fraction to a decimal fraction, the fraction line disappears, and a decimal point separates the numbers.

Chart illustrating the conversion of decimal numbers to fractions, categorized by one-digit, two-digit, and three-digit decimals, including examples like 0.7 = 7/10 and 0.562 = 562/100.

Detailed explanation

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

Practice Converting Decimal Fractions to Simple Fractions and Mixed Numbers

Question 1

Write the following fraction as a decimal:

\( \frac{1}{100}= \)

Question 2

Write the following fraction as a decimal:

\( \frac{20}{100}= \)

Question 3

Write the following fraction as a decimal:

\( \frac{3}{100}= \)

Question 4

Write the following fraction as a decimal:

\( \frac{11}{100}= \)

Question 5

Write the following fraction as a decimal:

\( \frac{5}{100}= \)

Examples with solutions for Converting Decimal Fractions to Simple Fractions and Mixed Numbers

Exercise #1

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 #2

Write the following fraction as a decimal:

20100= \frac{20}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

20.0 20.0

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

.200 .200

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

0.200=0.2 0.200=0.2

Answer

0.2

Exercise #3

Write the following fraction as a decimal:

3100= \frac{3}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

3.0 3.0

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

.030 .030

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

0.030=0.03 0.030=0.03

Answer

0.03

Exercise #4

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

Exercise #5

Write the following fraction as a decimal:

5100= \frac{5}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

5.0 5.0

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

.050 .050

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

0.050=0.05 0.050=0.05

Answer

0.05

Question 1

Write the following fraction as a decimal:

\( \frac{53}{100}= \)

Question 2

Write the following fraction as a decimal:

\( \frac{47}{100}= \)

Question 3

Write the following fraction as a decimal:

\( \frac{66}{100}= \)

Question 4

Write the following fraction as a decimal:

\( \frac{13}{100}= \)

Question 5

Write the following fraction as a decimal:

\( \frac{61}{100}= \)

Exercise #6

Write the following fraction as a decimal:

53100= \frac{53}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

53.0 53.0

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

.530 .530

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

0.530=0.53 0.530=0.53

Answer

0.53

Exercise #7

Write the following fraction as a decimal:

47100= \frac{47}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

47.0 47.0

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

.470 .470

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

0.470=0.47 0.470=0.47

Answer

0.47

Exercise #8

Write the following fraction as a decimal:

66100= \frac{66}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

66.0 66.0

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

.660 .660

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

0.660=0.66 0.660=0.66

Answer

0.66

Exercise #9

Write the following fraction as a decimal:

13100= \frac{13}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

13.0 13.0

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

.130 .130

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

0.130=0.13 0.130=0.13

Answer

0.13

Exercise #10

Write the following fraction as a decimal:

61100= \frac{61}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

61.0 61.0

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

.610 .610

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

0.610=0.61 0.610=0.61

Answer

0.61

Question 1

Write the following fraction as a decimal:

\( \frac{9}{100}= \)

Question 2

Write the following fraction as a decimal:

\( \frac{9}{100}= \)

Question 3

Write the following fraction as a decimal:

\( \frac{50}{100}= \)

Question 4

Write the following fraction as a decimal:

\( \frac{19}{100}= \)

Question 5

Write the following fraction as a decimal:

\( \frac{40}{100}= \)

Exercise #11

Write the following fraction as a decimal:

9100= \frac{9}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

9.0 9.0

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

.090 .090

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

0.090=0.09 0.090=0.09

Answer

0.09

Exercise #12

Write the following fraction as a decimal:

9100= \frac{9}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

9.0 9.0

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

.090 .090

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

0.090=0.09 0.090=0.09

Answer

0.09

Exercise #13

Write the following fraction as a decimal:

50100= \frac{50}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

50.0 50.0

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

.500 .500

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

0.500=0.5 0.500=0.5

Answer

0.5

Exercise #14

Write the following fraction as a decimal:

19100= \frac{19}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

19.0 19.0

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

.190 .190

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

0.190=0.19 0.190=0.19

Answer

0.19

Exercise #15

Write the following fraction as a decimal:

40100= \frac{40}{100}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

40.0 40.0

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

.400 .400

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

0.400=0.4 0.400=0.4

Answer

0.4

More Questions

Topics learned in later sections

  1. Converting a Decimal Fraction to a Mixed Number
  2. Addition and Subtraction of Decimal Numbers
  3. Comparison of Decimal Numbers
  4. Converting Decimals to Fractions