Converting a simple fraction to decimal - how to calculate?

🏆Practice converting decimal fractions to simple fractions and mixed numbers

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.

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Test yourself on converting decimal fractions to simple fractions and mixed numbers!

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Write the following fraction as a decimal:

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

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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, how do decimal fractions look? They appear in the following form: 0.5, 3.6, and so on. Or in other words: "the fraction with the point".

Actually, 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 the two different numbers is called the fraction bar.
  • 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.

Calculation method: How do we convert a simple fraction to a decimal?

Let's say we have the fraction 252\over5. In order to get to the denominator 1010 (remember, we need to choose a denominator), we'll need to multiply both numerator and denominator by 22. Thus, the fraction changes from 252\over5 to 4104\over10. Therefore, our decimal number will be 0.40.4.

Another example:

Given the fraction 121\over2. First, we need to get to a denominator of 1010, which means we'll need to multiply both numerator and denominator by 55. Thus, the resulting fraction will be 5105\over10, and the decimal fraction would be 0.50.5.

Additional Examples - Converting a Simple Fraction to Decimal

Given the fraction 151\over5. The chosen denominator in this case will be 1010, so we need to multiply both numerator and denominator by 22.
Now, the fraction changes to 2102\over10, so in its decimal form it will be 0.20.2.

Given the fraction 1251\over25. The chosen denominator in this case will be 100100. Now, we'll multiply both numerator and denominator by 44.
Now, the fraction changes to 41004 \over 100, which means in its decimal form it will be 0.040.04.

Given the fraction 22502\over250. The chosen denominator in this case will be 10001000. Now, we'll multiply both numerator and denominator by 44.
Now, the fraction will be 810008\over1000, and in its decimal form it will be 0.0080.008.

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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

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