Multiplying a Whole Number by a Fraction

Multiplying a Whole Number by a Fraction

It's as easy as 1, 2, 3!

Multiple Choice

LET'S REVIEW! What mathematical operation are fractions representing?

• Addition

• Subtraction

• Division

• Multiplication

Step 1:

Since fractions are the same as DIVISION, the first step is to make your whole number have a denominator of 1.

Multiple Choice

Make the whole number have a denominator of one: 3 x  $\frac{2}{5}$  

•  $\frac{1}{3}$  

•  $\frac{3}{1}$  

• 3

Step 2:

Multiply your numerators and denominators straight across

Multiple Choice

Multiply  $\frac{3}{1}\times\frac{2}{5}$  

•  $\frac{15}{2}$  

•  $\frac{6}{10}$  

•  $\frac{6}{1}$  

•  $\frac{6}{5}$  

Step 3:

If you have an improper fraction, convert it to a mixed number. If you have a proper fraction, you have already found your answer!

Multiple Choice

Change $\frac{6}{5}$  to a mixed number

•  $1\ \frac{1}{5}$  

•  $1\ \frac{6}{5}$  

•  $\frac{5}{6}$  

• 2  $\frac{1}{5}$  

Let's Practice!

Use your dry erase sheet and your marker to show your work!

Multiple Select

Check all the IMPROPER fractions

• $\frac{7}{7}$

• $\frac{2}{3}$

• $\frac{10}{8}$

• $\frac{6}{5}$

• $\frac{1}{2}$

Multiple Choice

Multiply 3 x $\frac{2}{8}$ 

•  $\frac{32}{8}$  

•  $\frac{5}{8}$  

•  $\frac{2}{24}$  

•  $\frac{6}{8}$  

Multiple Choice

Multiply AND change to a mixed number!

 $\frac{2}{6}$ x 4 

• 1  $\frac{2}{6}$  

• 2 $\frac{1}{6}$  

• 1  $\frac{1}{6}$  

•  $\frac{8}{6}$  

Multiple Choice

A fabric store had 1/8 yard pieces of fabric for sale. Mary bought 7 pieces. How many yards of fabric did Mary buy?

• 5/8 yard

• 7/8 yard

• 6/8 yard

• 8/8 yard

Multiple Choice

 $4\ \times\ \frac{2}{3}$  

• 1

• 2

•  $2\frac{2}{3}$  

•  $3\frac{2}{3}$  

Multiple Choice

 $8\ \times\ \frac{3}{4}$  

•  $8\ \times\ \frac{3}{4}$  

• 6

• 5

•  $6\frac{1}{3}$