Add Fractions with Like Denominators

Adding Fractions with Like Denominators

and different numerators

What is a like denominator?

A like denominator is a denominator that is the same. This means that the whole has been divided up into the same number of parts.

Multiple Choice

Do the fractions 1/3 and 2/3 have like denominators?

• yes

• no

What about simplifying?

• We must simplify or reduce all of our answers. In this example, when we have six out of six parts, we have one whole. You can see that one whole figure is shaded in. We simplify our answer and then our work is complete.

• Our final answer is 
  

   $\frac{6}{6}$  = 1

Multiple Choice

The first step when adding fractions is to ...

• Add the numerators

• Make sure the denominators are the same

• Make sure the numerators are the same

• Add the denominators together

 $\frac{2}{8}$  +  $\frac{4}{8}$  

• The first step is to make sure that you have like denominators.

• In this example, both denominators are 8, so we can add the numerators because the denominators are alike.

• Our next step is to add the numerators.

• 2 + 4 = 6

• We put that number over the common denominator.

•  $\frac{6}{8}$  

Our last step is to see if we can simplify our answer of  $\frac{6}{8}$  

• In this example, 6 and 8 have the greatest common factor of 2. We divide both the numerator and the denominator by 2 to simplify the fraction.

•  $\frac{6}{8}$   $\div$   $\frac{2}{2}$  =  $\frac{3}{4}$  

Multiple Choice

 $\frac{3}{6}$  +  $\frac{9}{6}$  = 

Don't forget to simplify, if possible.

•  $\frac{12}{12}$  

•  $\frac{27}{36}$  

•  $2$  

•  $\frac{12}{6}$  

Multiple Choice

 $\frac{3}{8}$  +  $\frac{5}{8}$  Don't forget to simplify, if possible.

•  $\frac{8}{16}$  

• 1

•  $\frac{8}{8}$  

Multiple Choice

Arronasia gave  $\frac{2}{12}$  of her candy bar to her cousin and  $\frac{3}{12}$  of the candy bar to her brother. Which shows how much of the candy bar Arronasia gave away?

•  $\frac{5}{12}$  

•  $\frac{6}{12}$  

•  $\frac{1}{12}$  

•  $\frac{7}{12}$  

Multiple Choice

 $\frac{2}{8}$ +  $\frac{3}{8}$  

 

•  $\frac{6}{16}$  

•  $\frac{5}{16}$  

•  $\frac{5}{8}$  

Multiple Choice

 $\frac{2}{6}$  +  $\frac{2}{6}$  =

•  $\frac{4}{12}$  

•  $\frac{2}{3}$  

•  $\frac{2}{6}$