Converting Decimal Fractions to Simple Fractions and Mixed Numbers

Understanding Converting Decimal Fractions to Simple Fractions and Mixed Numbers

Complete explanation with examples

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

Practice Converting Decimal Fractions to Simple Fractions and Mixed Numbers

Test your knowledge with 58 quizzes

Write the following fraction as a decimal:

$\frac{66}{100}=$

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

Step-by-step solutions included

Exercise #1

Write the following fraction as a decimal:

$\frac{2}{100}=$

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$2.0$

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

$.020$

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

$0.020=0.02$

Answer:

0.02

Video Solution

Exercise #2

Write the following fraction as a decimal:

$\frac{3}{100}=$

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$3.0$

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

$.030$

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

$0.030=0.03$

Answer:

0.03

Video Solution

Exercise #3

Write the following fraction as a decimal:

$\frac{33}{100}=$

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$33.0$

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

$.330$

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

$0.330=0.33$

Answer:

0.33

Video Solution

Exercise #4

Write the following fraction as a decimal:

$\frac{14}{100}=$

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$14.0$

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

$.140$

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

$0.140=0.14$

Answer:

0.14

Video Solution

Exercise #5

Write the following fraction as a decimal:

$\frac{4}{100}=$

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction

$4.0$

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

$.040$

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

$0.040=0.04$

Answer:

0.04

Video Solution

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Topics Learned in Later Sections

Converting a Decimal Fraction to a Mixed Number Addition and Subtraction of Decimal Numbers Comparison of Decimal Numbers Converting Decimals to Fractions

Practice by Question Type

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Comparison to simple fractions Conversion from non-round denominator Conversion - greater than 1 Convert a decimal to a fraction with 100 as its denominator Convert a fraction with a denominator greater than 100 to a decimal Convert a fraction with a denominator of 10 to a decimal Convert a fraction with a denonimator of 100 to a decimal Converting to a fraction in its simplest form Find the missing number From a decimal to a denominator of 10 Graphical representation Simple conversion to denominator 10, 100, 1000 Solving the problem

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

Understanding Converting Decimal Fractions to Simple Fractions and Mixed Numbers

Converting a simple fraction to decimal - how to calculate?

Practice Converting Decimal Fractions to Simple Fractions and Mixed Numbers

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

More Converting Decimal Fractions to Simple Fractions and Mixed Numbers Questions