Content code
m1556
Slug (identifier)
from-mixed-number-to-decimal-number-and-vice-versa
Grades
Secondary I
Secondary II
Topic
Mathematics
Tags
décimale
fractionnaire
notation décimale
entière
notation
fraction
nombre fractionnaire
transformation
Écriture
nombre décimal
Content
Contenu
Corps

In some situations, it may be useful to convert a mixed number to a decimal number or vice versa. The following concept sheet shows several methods that can be used to do this.

Links
Title (level 2)
Expressing a Mixed Number in Decimal Notation
Title slug (identifier)
mixed-number-decimal
Contenu
Corps

It is possible to express a mixed number directly as a decimal number.

Surtitle
Règle
Content
Corps
  1. Identify the integer of the mixed number. This integer will be the whole number in the decimal notation.

  2. Divide the numerator by the denominator of the fraction in the mixed number.

  3. Add the integer and the result of the division to get the number in decimal notation.

Content
Corps

Express |3\;\dfrac{2}{5}| in decimal notation.

  1. Identify the integer of the mixed number

Image
Fraction
Corps

The integer is |3.| The integer in decimal notation will also be |3.|

  1. Divide the numerator by the denominator of the fraction

Image
Fraction
Corps

The fraction is equal to |0.4.|

  1. Add the integer and the result of the division to obtain the number in decimal notation

||3+0.4=3.4||
Thus, ||3\dfrac{2}{5}=3.4||

Title (level 2)
Expressing a Decimal Number as a Mixed Number
Title slug (identifier)
decimal-mixed
Contenu
Corps

It is possible to express a number written in decimal notation as a mixed number. Follow these steps.

Surtitle
Règle
Content
Corps
  1. Identify the integer of the number written in decimal notation. This integer will be the whole number in the mixed number.

  2. Identify the decimal part of the number written in decimal notation and express it as a fraction.

  3. Write the mixed number composed of the integer followed by the fraction.

Content
Corps

To express the decimal part as a fraction, we can simply read it.

For example, the decimal part |0.42| can be read as: "forty-two hundredths".

The fraction representing the decimal part is therefore |\dfrac{42}{100}.| The fraction can be expressed as “forty-two hundredths ”.

Once the decimal part is expressed as a fraction, the only remaining step is to simplify it!

Content
Corps

Express |14.65| as a mixed number.

  1. Identify the integer of the number written in decimal notation

Image
Decimal
Corps

The integer is |14| . The integer of the mixed number will also be |14.|

  1. Determine the decimal part of the number written in decimal notation and express it as a fraction
    The decimal part of the number is |0.65| and it reads as "sixty-five hundredths." It can be expressed as a fraction. For example: ||\dfrac{65}{100}||

    Simplifying the fraction results in the following: ||\dfrac{65\color{green}{\div 5}}{100\color{green}{\div 5}}=\dfrac{13}{20}||

  2. Write the mixed number composed of the integer followed by the fraction
    So,||14.65=14\;\dfrac{13}{20}||

Remove audio playback
No