Mixed an Improper Fractions

Mixed and Improper Fractions

Fractions with the same number for the numerator and the denominator

Equal 1 Whole

What is an improper fraction?

When the numerator is bigger than the denominator.

How to convert an Improper Fraction

Divide the numerator by the denominator. The remainder will be the new numerator. Denominator always stays the same!

You Try!

Multiple Choice

$$\frac{10}{\text{2}}$$  

• $$5\frac{\text{1}}{2}$$  

• 5 Wholes 

• 1 Whole 

Multiple Choice

$$\frac{\text{13}}{\text{4}}$$  

• 1 Whole 

• $$1\frac{1}{4}$$  

• $$3\ \frac{1}{4}$$  

What is a mixed number?

A fraction with a whole number in it

How to convert a mixed number

Multiply the whole number times the denominator. Then add that answer to the numerator.

You Try!

Multiple Choice

$$3\frac{1}{6}$$  

• $$\frac{1}{6}$$  

• $$\frac{19}{6}$$  

• $$\frac{2}{3}$$  

Multiple Choice

$$10\frac{2}{5}$$  

• $$\frac{52}{5}$$  

• $$\frac{50}{5}$$  

• 10

Multiple Select

Select all the improper fractions.

• 
  

  $$\frac{3}{4}$$
  

• $$\frac{18}{9}$$

• $$\frac{7}{7}$$

• $$\frac{9}{10}$$

• $$\frac{109}{100}$$

Multiple Select

Select all the mixed numbers.

• 
  

  $$8\ \frac{1}{2}$$
  

• $$\frac{43}{40}$$

• $$6\ \frac{2}{5}$$

• $$12\ \frac{4}{7}$$

• $$\frac{12}{10}$$

Mixed Numbers to Improper Fractions

MAD

Multiply the Denominator and the Whole Number

Add the Numerator

Denominator stays the same

Multiple Choice

Convert the Mixed Number to an Improper Fraction. 

$$3\ \frac{4}{6}$$  

• $$\frac{12}{6}$$  

• $$\frac{28}{6}$$  

• $$\frac{22}{4}$$  

• $$\frac{22}{6}$$  

Multiple Choice

Convert the Mixed Number to an Improper Fraction. 

$$5\ \frac{3}{5}$$  

• $$\frac{13}{5}$$  

• $$\frac{28}{5}$$  

• $$\frac{25}{5}$$  

• $$\frac{28}{3}$$  

Multiple Choice

Convert the Mixed Number to an Improper Fraction. 

$$7\ \frac{2}{4}$$  

• $$\frac{28}{4}$$  

• $$\frac{30}{7}$$  

• $$\frac{30}{4}$$  

• $$\frac{23}{4}$$  

Improper Fractions to Mixed Numbers

• Divide

• Quotient becomes your WHOLE NUMBER

• Remainder becomes your Numerator

• Denominator stays the SAME

Multiple Choice

Convert the Improper Fraction to a Mixed Number. 

$$\frac{21}{5}$$  

• $$6\ \frac{1}{5}$$  

• $$4\ \frac{1}{4}$$  

• $$5\ \frac{1}{20}$$  

• $$4\ \frac{1}{5}$$  

Multiple Choice

Convert the Improper Fraction to a Mixed Number.

  $$\frac{38}{12}$$  

• $$3\ \frac{2}{12}$$  

• $$6\ \frac{1}{12}$$  

• $$3$$  

• $$3\ \frac{4}{12}$$  

Multiple Choice

Convert the Improper Fraction to a Mixed Number. 

$$\frac{48}{9}$$  

• $$6\ \frac{3}{9}$$  

• $$5\ \frac{4}{9}$$  

• $$3\ \frac{2}{9}$$  

• $$5\ \frac{3}{9}$$