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

Multiple Choice

Which fraction is an example of an improper fraction?

•  $\frac{3}{8}$  

•  $\frac{1}{2}$  

•  $\frac{9}{2}$  

•  $\frac{5}{8}$  

Mixed Number

• Have both a whole number and a fraction

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

Multiple Choice

Which is an example of a mixed number?

• $\frac{9}{8}$

• $3\frac{2}{5}$

• $\frac{2}{3}$

• $\frac{5}{2}$

Converting an Improper Fraction to a Mixed Number

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

• The result becomes the whole number; the remainder becomes the numerator; the denominator stays the same.

Multiple Choice

 Convert the improper fraction to a mixed number.

 $\frac{7}{4}$ 

•  $1\frac{4}{7}$  

•  $1\frac{3}{4}$  

•  $4\frac{1}{2}$  

Multiple Choice

Convert the improper fraction to a mixed number.

 $\frac{12}{5}$  

•  $2\frac{2}{5}$  

•  $5\frac{1}{2}$  

•  $1\frac{2}{5}$  

Converting Mixed Numbers to Improper Fractions

• Multiply the whole number by the denominator then add the numerator.

• Keep the same denominator as in the mixed number.

Multiple Choice

Convert the mixed number to an improper fraction.

 $3\frac{1}{2}$  

•  $\frac{4}{2}$  

•  $\frac{3}{2}$  

•  $\frac{7}{2}$  

Multiple Choice

Convert the mixed number to an improper fraction.

 $5\frac{1}{3}$  

•  $\frac{16}{3}$  

•  $\frac{15}{6}$  

•  $3\frac{1}{6}$