Adding & Subtracting Mixed Numbers and Improper Fractions

Adding & Subtracting Mixed Numbers and Improper Fractions

Multiple Select

Which of the following are mixed numbers?

• $4\ \frac{1}{5}$

• $6\ \frac{7}{8}$

• $\frac{12}{7}$

• $9\ \frac{3}{8}$

• $\frac{11}{3}$

Multiple Select

Which of the following are improper fractions?

• $4\ \frac{1}{5}$

• $6\ \frac{7}{8}$

• $\frac{12}{7}$

• $9\ \frac{3}{8}$

• $\frac{11}{3}$

A mixed number is a whole number and a fraction.  

•  $1\ \frac{3}{4}\ is\ a\ mixed\ number.$  

•  $1\ \frac{3}{4}\ is\ the\ same\ as\ saying\ 1\ +\ \frac{3}{4}.$  

•  $1\ is\ the\ whole\ number.$   $\frac{3}{4}\ is\ the\ fraction.$   $Together\ they\ are\ a\ mixed\ number.$  

An improper fraction is a fraction with a numerator larger than the denominator.

•  $\frac{10}{7}$  

•  $\frac{50}{21}$  

•  $\frac{3}{2}$  

Multiple Choice

 $6\ \frac{3}{4}\ +\ 4\ \frac{2}{4}$  Do not leave an improper fraction.

•  $10\ \frac{5}{4}$  

•  $10\ \frac{1}{4}$  

•  $11\ \frac{1}{4}$  

•  $11\ \frac{3}{4}$  

 $6\ \frac{3}{4}\ +\ 4\ \frac{2}{4}\ =\ 11\ \frac{1}{4}$  

•  $6\ \frac{3}{4}\ +\ 4\ \frac{2}{4}\ =\ 10\ \frac{5}{4\ }$  

•  $\frac{5}{4}\ is\ an\ improper\ fraction.$  

•  $\frac{5}{4}=1\ \frac{1}{4}$  

•  $Add\ 10\ +\ 1\ \frac{1}{4}$  

•  $11\ \frac{1}{4}$  

Multiple Choice

 $2\ \frac{3}{8}\ +\ 1\ \frac{7}{8}$  Do not leave an improper fraction.

•  $4\ \frac{1}{4}$  

•  $3\ \frac{10}{8}$  

•  $4\ \frac{2}{8}$  

•  $3\ \frac{2}{8}$  

 $2\ \frac{3}{8}\ +\ 1\ \frac{7}{8}\ =\ 4\ \frac{1}{4}$  

•  $2\ +\ 1\ =\ 3\ \ and\ \ \ \frac{3}{8}\ +\ \frac{7}{8}\ =\frac{10}{8}$  

•  $\frac{10}{8}\ is\ an\ improper\ fraction.$  

•  $\frac{10}{8}\ =\ 1\ \frac{2}{8}\$  

•  $\frac{2}{8}\ gets\ reduced\ to\ \frac{1}{4}$  

•  $Add\ \ 3\ +\ 1\ +\ \frac{1}{4}\ =\ 4\ \frac{1}{4}$ 

Fill in the Blank

 $\frac{12}{5}\ +\ \frac{8}{5}$  Do not leave an improper fraction.

 $\frac{12}{5}\ +\ \frac{8}{5}\ =\ 4$  

•  $\frac{12}{5}\ +\ \frac{8}{5}\ =\ \frac{20}{5}$  

•  $\frac{20}{5}\ =\ \frac{5}{5}\ +\frac{5}{5}\ +\ \frac{5}{5}\ +\frac{5}{5}\$  

•  $\frac{5}{5}\ =\ 1\$  

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

Fill in the Blank

 $3\ \frac{4}{6}\ +\ 5\ \frac{5}{6}$  Do not leave an improper fraction.

 $3\ \frac{4}{6}\ +\ 5\ \frac{5}{6}\ =\ 9\ \frac{1}{3}$  

•  $3\ +\ 5\ =\ 8\ and\ \frac{4}{6}\ +\ \frac{5}{6}\ =\ \frac{9}{6}$  

•  $\frac{9}{6}\ is\ an\ improper\ fraction.$  

•  $\frac{9}{6}\ =\ 1\ \frac{3}{6}$  

•  $Add\ \ 5\ +\ 1\ +\ \frac{1}{2}\ =\ 6\ \frac{1}{2}$  

•  $Add\ \ 8\ +\ 1\ +\ \frac{1}{2}\ =\ 9\ \frac{1}{2}$  

Fill in the Blank

Summarizer:          $Simplify\ \frac{21}{6}.$