Converting Improper Fractions and Mixed Numbers

Converting Improper Fractions and Mixed Numbers

Improper Fractions

• Fractions where the numerator (top number) is larger than the denominator (bottom number.

• Examples:

   $\frac{7}{2}\ \ \ \ \frac{12}{4}\ \ \ \frac{121}{10}$ 

Mixed Number

• Have both a whole number and a fraction

• Examples:

•  $1\ \frac{2}{3}\ \ \ \ \ \ 6\frac{5}{7}\ \ \ \ 13\ \frac{8}{13}$  

Converting an Improper Fraction to a Mixed Number

Divide the numerator (top) by the denominator (bottom) and stop at the remainder.

Multiple Choice

Convert the improper fraction to a mixed number.

 $\frac{9}{4}$  

•  $1\frac{4}{9}$  

•  $2\ \frac{1}{4}$  

•  $4\ \frac{1}{2}$  

Multiple Choice

Convert the mixed number to an improper fraction. $9\ \frac{2}{3}$  

•  $\frac{29}{3}$  

•  $\frac{2}{3}$  

•  $\frac{21}{3}$  

Multiple Choice

 $2\ \frac{3}{8}$  

Convert the mixed number to an improper fraction.

•  $\frac{8}{19}$  

•  $\frac{19}{8}$  

• 2

Multiple Choice

Convert the improper fraction to a mixed number. $\frac{11}{5}$  

•  $2\ \frac{1}{5}$  

•  $5\ \frac{1}{2}$  

•  $1\ \frac{2}{5}$  

Multiple Choice

Convert the improper fraction to a mixed number. $\frac{71}{10}$  

• 7

•  $1\ \frac{7}{10}$  

•  $7\ \frac{1}{10}$  

Multiple Choice

Convert the improper fraction into a mixed number. $\frac{12}{5}$  

•  $5\ \frac{1}{2}$  

•  $2\ \frac{2}{5}$  

• 6

Converting a Mixed number to an Improper Fraction

Get M.A.D.

M-Multiply the denominator and whole number

A-Add the previous amount to the numerator

D-Keep the denominator the same

Multiple Choice

Convert the mixed number to an improper fraction.  $5\ \frac{1}{3}$  

•  $\frac{16}{3}$  

•  $\frac{15}{6}$  

•  $3\ \frac{1}{6}$  

Multiple Choice

Convert the mixed number to an improper fraction. $5\ \frac{4}{9}$  

• 5

•  $\frac{9}{4}$  

•  $\frac{49}{9}$