Adding and Subtracting fractions

Adding and Subtracting fractions

Reviewing parts of a fraction

• Numerator = the top number

• Denominator = the bottom number

Multiple Select

What is the top number of a fraction called?

• Denominator

• Numerator

Multiple Select

What is the bottom number of a fraction called?

• Denominator

• Numerator

Adding fractions with a common denominator

• Add the numerators

• Keep the denominators the same

 $\frac{2}{7}+\frac{1}{7}=$  

• Add the numerators:   2+1=3

• The denominator is already the same so it stays the same.

•  $\frac{2}{7}+\frac{1}{7}=\frac{3}{7}$  

 $\frac{3}{4}+\frac{2}{4}=$  

• Add the numerators:   3+2=5

• The denominator is already the same so it stays the same.

•  $\frac{3}{4}+\frac{2}{4}=\frac{5}{4}$  

Multiple Choice

 $\frac{1}{6}+\frac{3}{6}=$  

•  $\frac{2}{6}$  

•  $\frac{4}{6}$  

•  $\frac{4}{12}$  

Multiple Choice

 $\frac{4}{9}+\frac{4}{9}=$  

•  $\frac{8}{9}$  

•  $\frac{4}{9}$  

•  $\frac{8}{18}$  

Adding fractions with different denominators

• Multiply the denominators (to get a common denominator - QCD)

• Multiply the numerator of the first fraction by the opposite denominator

• Multiply the numerator of the second fraction by the opposite denominator

Multiple Choice

 $\frac{2}{3}+\frac{1}{6}=$  

•  $\frac{3}{6}$  

•  $\frac{3}{9}$  

•  $\frac{15}{18}$  

Multiple Choice

 $\frac{1}{9}+\frac{5}{2}=$  

•  $\frac{47}{18}$  

•  $\frac{6}{18}$  

•  $\frac{6}{11}$  

Multiple Choice

 $\frac{4}{3}+\frac{1}{8}=$  

•  $\frac{35}{24}$  

•  $\frac{5}{11}$  

•  $\frac{5}{24}$  

Multiple Choice

 $\frac{1}{2}+\frac{3}{5}=$  

•  $\frac{4}{7}$  

•  $\frac{11}{10}$  

•  $\frac{4}{10}$  

Multiple Choice

 $\frac{8}{10}+\frac{1}{12}=$  

•  $\frac{9}{120}$  

•  $\frac{9}{22}$  

•  $\frac{106}{120}$