Add and Subtract Fractions on Number Line Same Denominators

Adding and Subtracting Fractions Using a Number Line

with like Denominators

Move right on the number line to model addition.

Write the addition sentence.

 $\frac{2}{10}$  + $\frac{5}{10}$  =  $\frac{7}{10}$  
The distance from Elizabeth's house to the softball field is  $\frac{7}{10}$  mile.

Write the equation shown by the number line.

Simplify, if possible.

Write the equation shown by the number line.

 $\frac{1}{5}$  + $\frac{2}{5}$  = $\frac{3}{5}$  

Multiple Choice

Which equation represents the number line.

•  $\frac{2}{10}$  +  $\frac{6}{10}$  =  $\frac{8}{10}$  

•  $\frac{6}{10}$  -  $\frac{2}{10}$  =  $\frac{4}{10}$  

•  $\frac{2}{10}$  + $\frac{4}{10}$  = $\frac{6}{10}$  

•  $\frac{3}{10}$  +  $\frac{3}{10}$  =  $\frac{6}{10}$  

Multiple Choice

To put a fraction in simplest form, you will need to do this to the numerator and denominator

• subtract both by same number

• divide both by the same number

• add the same number to both

• multiply both by the same number

Multiple Choice

Simplify

 $\frac{6}{10}$  

•  $\frac{1}{5}$ because 6 - 5 = 1 and 10 - 5 = 5

•  $\frac{3}{5}$  because 6  $\div$  2 = 3 and 10 $\div$  2 = 5

•  $\frac{12}{20}$  because 6 x 2 =12 and 10 x 2 =20 

•  $\frac{2}{5}$  because 6 $\div$  3 =2 and 10 $\div$  2 = 5

Multiple Choice

A fraction is in simplest form when the numerator and denominator ___________.

• are the same.

• are both odd.

• are both even.

• have no common factor other than 1.

Subtracting Fractions on a Number Line

Move left on the number line to model subtraction.

If your answer was

 $\frac{3}{8}$  ,

you are correct.  $\frac{6}{8}$  -  $\frac{3}{8}$  = $\frac{3}{8}$  

Multiple Choice

Anthony and Jahlel are running a race during recess. Jahlel reached the finish line, while Anthony stopped
 $\frac{7}{10}$  
  of the way. What fraction of the race did Anthony still have to finish?

•  $\frac{7}{10}$  

•  $\frac{3}{10}$  

•  $\frac{10}{10}$  

• Answer not here

Multiple Choice

Victoria had  $\frac{9}{10}$   a gallon of milk. She poured  $\frac{6}{10}$  a gallon for her classmates. Which number line shows the  fraction of milk she has left?

Multiple Choice

Add or Subtract?
Ashia has  $\frac{4}{9}$  tomatoes and  $\frac{2}{9}$  carrots in her garden. Which fraction of her garden either has tomatoes or carrots?

• Add 

• Subtract

Multiple Choice

Add or Subtract?
Elijah practiced the trumpet for  $\frac{7}{12}$  hour. Eric, his brother, practiced the trumpet for  $\frac{3}{12}$ . How much longer did Elijah practice than Eric?

• Add

• Subtract