Compare Improper Fractions to Mixed Numbers Same Denominator

Compare Improper Fractions to Mixed Numbers

4th grade - 5th grade

Improper Fraction

• A fraction where the numerator (top number) is larger than the denominator (bottom number}.

• Examples

•  $\frac{4}{3}$   $\frac{6}{4}$   $\frac{12}{5}$  

Mixed Number

• Composed of  a whole number and a fraction

• Examples

•  $1\ \frac{1}{4}$   $3\ \frac{2}{5}$   $7\ \frac{2}{3}$  
  

Let's review how to convert

both improper fractions and mixed numbers

Multiple Choice

Convert the improper fraction

 $\frac{7}{4}$  to a mixed number

•  $1\ \frac{3}{7}$  

•  $1\ \frac{3}{4}$  

•  $1\ \frac{1}{4}$  

Multiple Choice

Convert the improper fraction

 $\frac{11}{5}$  to a mixed number

•  $2\ \frac{1}{5}$  

•  $1\ \frac{2}{5}$  

•  $5\ \frac{1}{2}$  

How to Convert a Mixed Number to an Improper Fraction.

Multiple Choice

The first step when converting a mixed number to an improper fraction is to multiply the denominator times the whole number.

• True

• False

Multiple Choice

Convert the mixed number

 $2\ \frac{2}{3}$  to an improper fraction

•  $\frac{7}{3}$  

•  $\frac{12}{3}$  

•  $\frac{8}{3}$  

To Compare Improper Fractions to Mixed Numbers, you have to make both fractions the same format

either both as improper fractions or both as mixed numbers.

Compare

 $\frac{12}{5}$  and  $2\ \frac{3}{5}$  

• Convert  $2\ \frac{3}{5}$  to an improper fraction

• Multiply 5 x 2 + 3 =  $\frac{13}{5}$  

• Why doesn't the denominator change?

• Now compare  $\frac{12}{5}$  to  $\frac{13}{5}$  

•  $\frac{12}{5}$  <  $\frac{13}{5}$  so  $\frac{12}{5}$  <  $2\ \frac{3}{5}$  

Multiple Choice

Compare

 $2\ \frac{2}{5}$             $\frac{12}{5}$  

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Multiple Choice

Ms. Gallindo needs  $\frac{15}{4}$  yards of red bulletin paper and  $4\ \frac{1}{4}$  yards of blue bulletin paper. Which comparison is true?

•  $\frac{15}{4}$  <  $4\ \frac{1}{4}$  

•  $\frac{15}{4}$  >  $4\ \frac{1}{4}$  

•  $\frac{15}{4}$  =  $4\ \frac{1}{4}$  

Multiple Choice

Compare

 $\frac{56}{6}$           $5\ \frac{2}{6}$  

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