Dividing Mixed Numbers

Dividing Mixed Numbers

​Day 2

by Ms. Tout

Please Get Out:

• Journal

• Pencil​

Warm Up​

​Work it out in your journals.

Multiple Choice

Write the reciprocal of 13.

Remember: Write 13 as a Fraction FIRST, THEN write the reciprocal.

• $$\frac{13}{1}$$  

• $$0.13$$  

• $$\frac{1}{13}$$  

• 13

Multiple Choice

Solve: $$2\frac{2}{3}\div\frac{1}{2}$$  

• $$2\ \frac{2}{6}=\ 2\ \frac{1}{3}$$  

• $$\frac{16}{9}$$  

• $$\frac{19}{3}=5\ \frac{1}{3}$$  

• $$\frac{3}{6}$$  

​Converting M --> I and I --> M

​Mixed to Improper

​

​(W x D) + N

​All over the same D

​

​

​Improper to Mixed

​

​Long Division

Multiple Choice

Write as an improper fraction $$5\ \frac{3}{4}$$  

• $$\frac{23}{9}$$  

• $$\frac{21}{4}$$  

• $$\frac{23}{4}$$  

• $$\frac{23}{5}$$  

Multiple Choice

Change this Improper Fraction to a Mixed Number.

• $$5\ \frac{1}{3}$$  

• $$4\ \frac{2}{3}$$  

• 6

• $$5\ \frac{2}{3}$$  

​Simplify Fractions

• ​Step 1: Find the Greatest Common Factor

• ​Step 2: Divided the numerator and denominator by the G.C.F. found in step 1

• ​Step 3: Are both numerator and denominator prime?

Multiple Choice

If possible, simplify the following fraction $$\frac{7}{21}$$  

• $$\frac{4}{8}$$  

• $$\frac{1}{3}$$  

• $$\frac{1}{2}$$  

• This fraction is already in simpliest form.

Multiple Choice

If possible, simplify the following fraction $$\frac{6}{24}$$  

• $$\frac{3}{12}$$  

• $$\frac{1}{3}$$  

• $$\frac{1}{4}$$  

• This fraction is already in simpiliest form.

​Steps to Solve

• ​Step 1: Convert all Mixed and Whole numbers to Improper Fractions

• ​Step 2: Use K.C.F.

• ​Step 3: Multiply Across

• ​Step 4: Simplify

  • ​Equivalent Fraction

  • ​Convert from Improper --> Mix

Multiple Choice

What is the 1st step in dividing MIXED NUMBERS?

• Flip the 2nd fraction

• Convert mixed numbers to improper fractions

• Flip both fractions

• Convert improper fractions to mixed numbers

​Example

• ​Step 1: Convert Mixed to Improper

• ​

• ​Step 2: K.C.F.

• ​

• ​Step 3: Multiply Across

• ​

• ​Step 4: Simplify

Multiple Choice

1 ½ ÷ ½ =

• ⅓

• 3

Multiple Choice

2 ¼ ÷ 4 ⅕ =

• 11/26

• ⅝

• ⅞

• $$\frac{15}{28}$$  

Multiple Choice

How many $$\frac{1}{2}$$   cup servings are in a package of cheese that contains $$5\ \frac{1}{4}$$   cups altogether?

•   $$10\ \frac{1}{2}$$   servings

• 15 servings

• $$5\ \frac{1}{2}$$   servings

• 9 servings 

Multiple Choice

Mrs. Zimmer's class is making pillow cases. Each pillow case uses 3/4 of a yard of fabric. How many pillow cases can they make out of 12 1/2 yards of fabric?

• They can make 18 pillow cases.

• They can make 16 pillow cases.

• They can make 28 pillow cases.

• They can make 6 pillow cases.

Fill in the Blanks

Describe what a reciprocal is.

Open Ended

How do we divide fractions?

Use the Word Bank Below:

reciprocal multiply divide convert improper