Multiplying fractions and whole numbers Multiplying fractions Multiplying

Multiplying fractions and whole numbers

Multiplying fractions

Multiplying mixed numbers

Dividing fractions

Dividing mixed numbers

Pot Luck

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5 x =

=1

18 x

x =5

X 15

x =2

Estimate 15 x

of 28

x = 21

x

x

Write the algorithm the model represents and the answer.

¼ x 1/3= 1/12

At Marshall College, 4/5 of the students are enrolled in an art class. Of the students enrolled in an art class, 2/5 are enrolled in a painting class. What fraction of the students at Marshall College are enrolled in a painting class?

8/25

At Wade's Restaurant, 1/6 of the dishes on the menu are vegetarian. Of the vegetarian dishes, 3/4 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta dishes?

1/8

X 1

X =1 =1

1 x

3 x 1

Find the area of the rectangle 1 in.

x 1 x = = in 2

Estimate the following: 4 x 2

4 x 3 = 12

What is the reciprocal of ?

What algorithm is represented below, include your answer.

3 ÷ 1= 15 5

A cookie factory uses 1 1/8 barrels of oatmeal in each batch of cookies. The factory used 4 1/2 barrels of oatmeal yesterday. How many batches of cookies did the factory make?

4

Sheng bought a piece of rope that was 5 7/10 inches long. He cut the rope into 3 equal pieces. How long is each piece of rope?

1

40 ÷ 3

4 ÷ y When y = 6

What is the #1 rule when multiplying and dividing fractions?

Make sure that everything is in form!

What is it called when there is a whole number and a fraction?

A mixed number

What is the only number WITHOUT a reciprocal?

0

What is the reciprocal of 1?

What is it called when the numerator is bigger than the denominator?

An improper fraction

$200 $400 $400 $200 $400 $600 $600 $800 $800 $1000 $1000

An electrician needs to buy 7 1/2 feet of electrical wire. There are 2 1/2 feet of wire on each spool. How many spools of wire should the electrician buy?

7 1/2 ÷ 2 1/2 1. Remember, we are taking the whole and want to know how many groups (spools) fit into the whole. 2. Change each fraction to an improper fraction. 3. Change the division symbol to a multiplication symbol. 4. Write the reciprocal of the second number. 3

Peter's truck gets him 10 2/3 miles per gallon. Suppose Peter's tank is empty and he puts 5 1/2 gallons, how far can Peter go with the truck?

This word problem requires multiplication. Also, Note that both numbers are mixed numbers. Thus, you have to convert them to improper fractions before you multiply. 10 2/3 × 5 1/2 = (10 × 3 + 2)/3 × (5 × 2 +1)/2 = 32/3 × 11/2 10 2/3 × 5 1/2 = (32 × 11)/6 = 352/6 = 58. 66 miles