Entry Tickets: Converting Fraction Types (MIXED AND IMPROPER)

Watch this math antics video on Converting (changing back and forth)... Mixed Numbers and Improper fractions.

Do the problems he does with the video to help you learn and practice. You will be answering questions on his problems coming up!

Mixed Numbers and Improper Fractions

By Amy Azzarello

Mixed to Improper

• First: Multiply by denominator

• Second: Add result to numerator

• Denominator is the same

Multiple Choice

what do you do when changing a mixed number into an improper fraction?

• add then multiply

• multiply then add

• subtract

Multiple Choice

Convert  $$7\ \frac{1}{5}$$  to an improper fraction.

• $$\frac{13}{5}$$  

• $$\frac{13}{1}$$  

• $$\frac{36}{5}$$  

• $$\frac{7}{6}$$  

Multiple Choice

Convert $$1\frac{\text{3}}{\text{5}}$$  to an improper fraction.

• $$\frac{8}{5\ }$$  

• $$\frac{9}{5}$$  

• $$\frac{6}{3}$$  

• $$\frac{15}{5}$$  

Multiple Choice

Convert into an improper fraction.

• 4.2

• 2/4

• 4/2

• 5/2

Multiple Choice

What items do you multiply?

• numerator and whole number

• denominator and whole number

• denominator and numerator

• no multiplying

Multiple Choice

What item do you add to the product found?

• fraction

• denominator

• numerator

• whole number

Changing a Mixed Number to an Improper Fraction

• Step 1 - Multiply the whole number by the bottom number of the fraction (for example, if you have 2 ¾ multiply 2 x 4 = 8)

• Step 2 - Add the top number of the fraction to the answer you got above (3 + 8 = 11)

• Step 3 - The result is the new top number (the bottom number always stays the same), so now we have 11/4

• Example ... 5 ⅔ becomes 17/3 (5 x 3 = 15, 15 + 2 = 17)

To convert a mixed number to an improper fraction :

• Multiply the whole number times the denominator and add the numerator. This gives you your new Numerator.

• THE DENOMINATOR WILL ALWAYS STAY THE SAME!

Multiple Choice

Convert into an improper fraction.

• 5/22

• 12/2

• 4/12

• 12/5

Multiple Choice

Convert into an improper fraction.

• 11/2

• 21/1

• 21/2

• 20/2

Multiple Choice

Convert into an improper fraction.

• 24/4

• 35/4

• 11/3

• 28/3

​NOW IMPROPER TO MIXED FRACTIONS

Multiple Choice

Which of the following is the correct mixed number of  $$\frac{14}{3}$$  ?

• $$4\frac{1}{3}$$  

• $$4\frac{2}{3}$$  

• $$4\frac{3}{3}$$  

• $$2\frac{3}{4}$$  

Multiple Choice

Solve for the mixed number of       $$\frac{36}{5}$$  ?

• $$6\frac{1}{5}$$  

• $$7\frac{1}{5}$$  

• $$8\frac{1}{5}$$  

• $$9\frac{1}{5}$$  

Multiple Choice

$$\frac{9}{4}$$  

• $$1\ \frac{3}{4}$$  

• $$2\ \frac{1}{4}$$  

• $$4\ \frac{1}{2}$$  

Multiple Choice

Write the improper fraction as a mixed number in simplest form.
¹⁰/₃

• 3¹/₃
• 2³/₂
• ³/₁₀
• 3²/₃

Multiple Choice

Change the improper fraction to a mixed number. $$\frac{44}{8}$$  

• $$5\frac{4}{8}$$  

• $$5\frac{2}{8}$$  

• $$8\frac{5}{4}$$  

• $$4\frac{5}{8}$$  

Multiple Choice

$$\frac{33}{10}=$$  

• $$\frac{10}{33}$$  

• $$3\ \frac{1}{10}$$  

• $$3\ \frac{3}{10}$$  

• $$4\ \frac{7}{10}$$  

Multiple Choice

$$\frac{13}{5}=$$  

• $$2\frac{3}{5}$$  

• $$2\ \frac{2}{5}$$  

• $$2\ \frac{1}{13}$$  

• $$\frac{5}{13}$$