Multiplying Mixed Numbers

Multiplying Mixed Numbers

by Ms. Tout

​What is a Mixed Number?

• ​A number that is greater than 1 whole

• ​Made up of a whole number and a proper fraction

• ​A proper fraction has a numerator that is smaller than the denominator

• ​Bottom Heavy

Multiple Select

Identify all of the mixed numbers:

• $$1\frac{1}{2}$$

• $$9\frac{2}{3}$$

• $$\frac{3}{2}$$

• $$\frac{8}{6}$$

• $$5\frac{2}{3}$$

Multiple Choice

Identify the fractions as a mixed number, improper fraction or proper fraction.

• mixed number

• improper fraction

• proper fraction

​What is an Improper Fraction

• A fraction that equals more than 1​

• A fraction that has a numerator that is GREATER than the denominator

• ​Top Heavy

Multiple Choice

identify the fraction as either mixed number, improper fraction or proper fraction.

• mixed number

• improper fraction

• proper fraction

Multiple Select

Identify all of the improper fractions:

• $$\frac{5}{3}$$

• $$1\frac{1}{8}$$

• $$\frac{9}{4}$$

• $$3\frac{4}{5}$$

• $$\frac{1}{2}$$

Multiple Select

Identify all of the improper fractions:

• $$\frac{1}{4}$$

• $$\frac{4}{7}$$

• $$4\frac{1}{3}$$

• $$\frac{6}{2}$$

• $$\frac{9}{7}$$

​Converting from Mixed to Improper

• ​Multiply the Whole number by the denominator

• ​Add the numerator to the prodiuct

• ​Leave it over the denominator

Multiple Choice

What is $$4\frac{2}{5}$$ as a improper fraction?

• $$\frac{22}{5}$$  

• $$\frac{5}{22}$$  

• $$\frac{18}{5}$$  

• $$\frac{11}{5}$$  

Multiple Choice

What is $$8\frac{2}{3}$$ as a improper fraction?

• $$\frac{26}{3}$$  

• $$\frac{13}{3}$$  

• $$\frac{22}{3}$$  

• $$8\frac{2}{3}$$  

​Convert from Improper to Mixed

• ​Use long division to convert from improper to mixed.

• ​Use TIBO

  • ​Top In [Numerator inside]

  • ​Bottom Out [Denominator Out]

• Divided

• ​Stop when you reach a remainder

• ​Answer = Whole

• ​Remainder = Numerator

• ​What you divided with = Denominator

Multiple Choice

What is  $$\frac{12}{7}$$   as a mixed number?

• $$1\frac{5}{7}$$  

• $$1\frac{12}{7}$$  

• $$1\frac{7}{12}$$  

• $$\frac{7}{12}$$  

Multiple Choice

What is $$\frac{8}{3}$$ as a mixed number?

• $$2\frac{2}{3}$$  

• $$1\frac{2}{3}$$  

• $$\frac{3}{8}$$  

• $$8\frac{2}{3}$$  

Steps-to-Solve

Step 1:) Convert mixed numbers into improper fractions

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​Step 2:) Multiply Numerators

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​Step 3:) Multiply Denominators

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​Step 4:) Convert back into a mixed number using division

​Let's Try:

• ​First convert both Mixed numbers to imporper fractions.

• ​Multiply Numerators

• ​Multiply Denominators

• ​Use division to write as a mixed number

Multiple Choice

1 ¼ × 2 ¾ =

• 3 ⁷/₁₆

• 1 ¹/₂

• 2 ³/₁₆

• 4 ¹/₄

Multiple Choice

3 ⅗ x 2 ⅔ =

• 5 ⁶/₁₅

• 9 ³/₅

• 6 ²/₅

• ¹⁸/₄₀

Multiple Choice

Multiply the Mixed Numbers together

• -5 1/2

• 4 7/10

• 3 1/

• 5 1/2

Multiple Choice

Multiply.   Be sure to simplify your answer when possible.

• 12 5/6

• 77/6

• 6/77

• 12 6/5

Multiple Choice

Multiply.  Be sure to simplify your answer when possible.

• 11 3/4

• 10 2/36

• 47/4

• 423/36

Multiple Choice

CHALLENGE: Lori is baking cookies. Her recipe calls for ²/₃ of a cup of milk.  Lori decides she wants to triple the recipe.  How much milk is needed?

• ²/₉

• 4 ½

• 1

• 2

Multiple Choice

Emma has 2 2/3 pies. Sam has 1/2 of Emma's amount. How much pie does Sam have?

• 8/6

• 1 1/6

• 1 1/3

• 1

Multiple Choice

Jon had 2 2/3 of a pizza. 1 1/3 of that was cheese pizza. How much pizza was pepperoni?

• 30/9

• 3 5/9

• 1 5/9

• 3 3/9