Dividing Mixed Numbers

Divide Mixed Numbers

6th Grade​

Multiple Choice

Which of the following is an improper fraction?

• 2/3
• 3/2
• 1  2/3
• 1/3

Multiple Choice

Which of the following is a mixed number?

• 123
• 12/3
• 2/3
• 1  2/3

Multiple Choice

What is the first step in changing a mixed number to an improper fraction?

• Add the numerator and denominator
• Add the whole number to the numerator
• Multiply the numerator and denominator
• Multiply the whole number and the denominator

Multiple Choice

Convert this fraction into mixed number  $$\frac{14}{5}$$  

• $$2\frac{2}{5}$$  

• $$1\frac{9}{5}$$  

• $$2\frac{4}{5}$$  

Multiple Choice

Convert this fraction into mixed number $$\frac{7}{2}$$  

• $$3\frac{1}{2}$$  

• $$2\frac{3}{2}$$  

• $$3\frac{2}{2}$$  

Multiple Choice

Convert this fraction into mixed number $$\frac{21}{4}$$  

• $$5\ \frac{2}{4}$$  

• $$5\ \frac{1}{4}$$  

• $$5\ \frac{3}{4}$$  

​Example

Multiple Select

Select the improper fractions

• 2/5

• 5/2

• 15/12

• 12/15

Multiple Select

Select the mixed numbers

• 3¼

• 2⅚

• 7/8

• 8/6

Multiple Choice

Look at the picture. Is it a mixed number or an improper fraction?

• mixed number

• improper fraction

Multiple Choice

Look at the picture. Is it a mixed number or an improper fraction?

• mixed number

• improper fraction

Multiple Choice

What mixed number is shown in this model?

• 1 $$\frac{2}{4}$$

• 2 $$\frac{2}{4}$$

• 3 $$\frac{2}{4}$$

Multiple Choice

What is the mixed number shown in this model?

• 3 $$\frac{5}{8}$$

• 1 $$\frac{5}{8}$$

• 2 $$\frac{5}{8}$$

Multiple Choice

What is the mixed number shown to you in the model?

• 4 1/4

• 3 1/4

• 4 3/4

Example

Kayla drives her car to work every day. ​It uses 1 3/5 gallons of gas for each round trip. How many round trips can Kayla make on full tank of gas that is 16 gallons.

Multiple Choice

Write the improper fraction as a mixed number in simplest form.
⁵/₄ =

• 1¹/₃
• 1¹/₄
• 3¹/₃
• 3¹/₄

Multiple Choice

Write the improper fraction as a mixed number in simplest form.
³/₂ =

• 1¹/₂
• ²/₃
• 2¹/₂
• 1¹/₃

Example

Lilian hikes the trail in 4 hours. She hikes the same number of miles per hour. She hiked 15 5/6 miles. How many miles did she hike each hour?

Multiple Choice

What is the reciprocal of 3/4?

• 4/3
• 3/4
• 1/4 lb
• none of the above

Multiple Choice

$$\frac{1}{6}\div2$$  

• $$\frac{1}{3}$$  

• $$\frac{2}{6}$$  

• $$\frac{1}{12}$$  

• $$12$$  

• $$3$$  

Multiple Choice

Janelle divides 3 pieces of paper into fifths. How many fifths does she have?

What expression represents the situation above?

• $$\frac{1}{5}\div3$$

• $$3\div\frac{1}{5}$$

• $$\frac{1}{5}\times3$$

• $$3\ -\ \frac{1}{5}$$

Multiple Choice

5 ÷ ⅕

• ⅕
• 1/25
• 5
• 25