Review Lessons 8-7 & 8-8

Review Lessons 8-7 & 8-8

5th Grade

M.A.D.

• We use this strategy when we are multiplying and one of our factors is a mixed number

• M = Multiply the denominator by the whole number

• A = Add the product to the numerator

• D = Denominator stays the same

• The result of M.A.D. is an improper fraction

Multiple Choice

Use the M.A.D. strategy to rename the fraction as an improper fraction.

 $8\ \frac{2}{7}$  

•  $\frac{16}{7}$ 

•  $\frac{17}{7}$  

•  $\frac{58}{7}$ 

•  $\frac{23}{7}$ 

Lesson 8-7; Multiplying Mixed Numbers by Whole Numbers (page 357-358)

• Rename the mixed number to an improper fraction by using the M.A.D. strategy

• Multiply the numerator of the improper fraction by the whole number

• The denominator stays the same

• Simplify

Multiple Choice

Find the product.

 $6\ \times\ 3\ \frac{4}{5}$  

•  $\frac{114}{5}\ =\ 22\ \frac{4}{5}$ 

•  $\frac{114}{5}\ =\ 18\ \frac{4}{5}$ 

•  $\frac{72}{5}\ =\ 14\ \frac{2}{5}$  

•  $\frac{72}{5}\ =\ 12\ \frac{2}{5}$  

Multiple Choice

Ms. VanTuyl needs to make 4 batches of cookies. Each batch needs 3 3/5 of a cup of sugar. How many cups of sugar will she need?

 $4\ \times\ 3\ \frac{3}{5}$  

•  $\frac{44}{5}\ =\ 8\ \frac{4}{5}$ 

•  $\frac{72}{5}\ =\ 14\ \frac{2}{5}$ 

•  $\frac{44}{5}\ =\ 5\ \frac{4}{5}$  

•  $\frac{72}{5}\ =\ 10\ \frac{2}{5}$  

Multiplying Mixed Numbers by Fractions

• Use the M.A.D. strategy to rename the mixed number as an improper fraction

• Multiply the numerator by the numerator

• Multiply the denominator by the denominator

• Simplify

Multiple Choice

 $2\ \frac{1}{8}\ \times\ \frac{4}{9}$  

Find the product.

•  $\frac{64}{72}\ =\ \frac{1}{2}$  

•  $\frac{64}{72}\ =\ \frac{8}{9}$  

•  $\frac{44}{72}\ =\ \frac{22}{36}$  

•  $\frac{44}{72}\ =\ \frac{11}{9}$  

Multiple Choice

 $3\ \frac{4}{5}\ \times\ \frac{1}{7}$  

Multiply the factors.

•  $\frac{19}{35}$  

•  $\frac{35}{19}=\ 1\ \frac{16}{19}$  

•  $\frac{12}{35}$  

•  $\frac{12}{12}\ =\ 1$  

Multiplying Mixed Numbers by Mixed Numbers

• Use the M.A.D. strategy to rename both of the factors as improper fractions

• Multiply the numerator by the numerator

• Multiply the denominator by the denominator

• Simplify

Multiple Choice

 $2\ \frac{1}{8}\ \times\ 4\ \frac{2}{3}$  

Select the equation that shows the two mixed numbers as improper fractions.

•  $\frac{10}{8}\ \times\ \frac{11}{3\ }$  

•  $\frac{10}{8}\ \times\ \frac{10}{3}$  

•  $\frac{17}{8}\ \times\ \frac{14}{3}$  

•  $\frac{17}{3}\ \times\ \frac{14}{8}$  

Multiple Choice

 $\frac{17}{8}\ \times\ \frac{14}{3}$  

Find the product using the equation from the previous questions.

•  $\frac{31}{11}\ =\ 2\frac{9}{11}$  

•  $\frac{31}{11}\ =\ 1\ \frac{21}{11}$  

•  $\frac{238}{24}\ =\ 9\ \frac{11}{12}$  

•  $\frac{238}{24}\ =10\ \frac{11}{12}$  

Multiplying Fractions as Scaling- page 362

• Identify the two kinds of factors given (whole numbers, fractions, mixed numbers)

• Fractions can be greater or less than 1. It depends on the numerator

• All whole numbers and mixed numbers are GREATER than 1

• When one of the two factors is LESS than 1, the product will be LESS than both factors given, even if the other factor is greater than 1.

• When both factors are GREATER than 1, the product will be GREATER than both factors given

• When one factor is EQUAL TO 1, the product will be EQUAL TO the factor given

Multiple Choice

Choose whether the product will be greater or less than the factors given.

 $\frac{7}{10}\ \times\ 2\ \frac{1}{8}$  

• > greater than

• < less than

• = equal to

Multiple Choice

Choose whether the product will be greater than, less than, or equal to the factors given: 

 $\frac{5}{5}\ \times\ 2\ \frac{3}{5}$  

• > greater than

• < less than

• = equal to

Multiple Choice

 $2\ \frac{3}{8}\ \times\ 4\ \frac{5}{6}$  

Choose whether the product will be greather than, less than, or equal to the factors given.

• > greater than

•  < less than

• = equal to