Adding Fractions | Elementary | Primaire

Content code

m1614

Slug (identifier)

adding-fractions-elementary

Parent content

Fractions | Elementary

Grades

Grade 5

Grade 6

Equivalent file in the opposite grade group

Adding Fractions

Topic

Mathematics

Content

Title (level 2)

5th and 6th Grade

Title slug (identifier)

fifth-and-sixth-grade

Contenu

Title

How to Add Fractions with Common Denominators

Content

Corps

To add fractions with a common (identical) denominator, add only the numerators and keep the same denominator.

Content

Image

$Example of adding fractions with a common denominator.$

Title

How to Add Fractions Where One Denominator is a Multiple of the Other

Content

Corps

When adding fractions with different denominators, find a common (identical) denominator and then convert the fractions so they remain equivalent.

Content

Corps

The fractions |\dfrac{1}{3}| and |\dfrac{6}{12}| can be converted into equivalent fractions with a denominator of |12.|

Image

$Example of fractions converted into equivalent fractions.$

Content

Corps

Follow the instructions carefully. The answer may need to be written as a mixed number or as a simplified (irreducible) fraction.

Content

Image

$Example of adding fractions with different denominators.$

Corps

I identify the fraction with the smallest denominator. The fraction with the smallest denominator is \|\dfrac{1}{6}.\|	$Exemple d’addition de fractions dont le dénominateur est différent-2$
I find the number by which this fraction’s denominator can be multiplied to get the denominator of the second fraction. Therefore, I multiply \|6\| by \|3\| to get \|18.\|	$Exemple d’addition de fractions dont le dénominateur est différent-3$
I multiply the numerator by the same number.	$Exemple d’addition de fractions dont le dénominateur est différent-4$
I rewrite the addition sentence with the converted fraction.	$Exemple d’addition de fractions dont le dénominateur est différent-5$
I add the numerators only.	$Exemple d’addition de fractions dont le dénominateur est différent-6$
I write the sum using the same denominator as the added fractions.	$Exemple d’addition de fractions dont le dénominateur est différent-7$

Image

$Example of adding fractions with different denominators.$

Title

How to Add Fractions with Different Denominators Using the LCM

Content

Corps

To add fractions with different denominators using the least common multiple (LCM), also called the lowest common multiple, find a common (identical) denominator, and convert the fractions so they remain equivalent.

Content

Corps

Fractions |\dfrac{1}{3}| and |\dfrac{6}{12}| can be converted into equivalent fractions with a denominator of |12.|

Image

$Example of fractions converted into equivalent fractions.$

Content

Corps

Follow the instructions carefully. The answer may need to be written as a mixed number or as a simplified (irreducible) fraction.

Content

Image

$Example of adding fractions using the LCM.$

Corps

I find the least common multiple (LCM) of the denominators. To learn how to find the LCM, read the concept sheet The Least Common Multiple (LCM). The LCM of \|6\| and \|3\| is \|6.\| So, find equivalent fractions where the denominator is \|6.\|	$Exemple d’addition de fractions à l’aide du PPCM-2$
I must find the number by which to multiply the denominator of the fraction to obtain this LCM. The denominator of the fraction \|\dfrac{3}{6}\| already has \|6\| as a denominator. Only the fraction \|\dfrac{1}{3}\| needs to be converted. I multiply \|3\| by \|2\| to get \|6.\|	$Exemple d’addition de fractions à l’aide du PPCM-3$
I multiply the numerator of this fraction by the same number.	$Exemple d’addition de fractions à l’aide du PPCM-4$
I rewrite the addition with the converted fraction.	$Exemple d’addition de fractions à l’aide du PPCM-5$
I add only the numerators.	$Exemple d’addition de fractions à l’aide du PPCM-6$
I write the sum using the same denominator as the added fractions.	$Exemple d’addition de fractions à l’aide du PPCM-7$