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Multiplying a fraction by a whole number!

If you are multiplying a fraction by a whole number, all you need to do is turn the whole number into a fraction. For example, if you have the number 5, all you need to do is make it into a fraction by putting the 5 on top (numerator) and a 1 on the bottom (denominator).

Multiple Choice

What expression is modeled above?

• 3 x $$\frac{9}{24}$$

• 3 x $$\frac{3}{8}$$

• $$\frac{3}{8}$$ x $$\frac{3}{8}$$

• $$\frac{9}{24}$$ x 3

Multiple Choice

5. What expression is modeled above?

• 5 x $$\frac{1}{6}$$

• $$\frac{1}{5}$$ x 7

• $$\frac{5}{30}$$

• 6 x $$\frac{1}{5}$$

Multiplying fractions with Cross Cancel strategy!

2⁄3 x ⅙ If you are multiplying two fractions together ,such as the one shown, that have two numbers with greatest common factors (2 and 6 have 2 in common) You can "Pre-Simplify" or reduce the numbers to make multiplying easier!

Multiple Choice

$$\frac{2}{7}\times\frac{3}{4}$$  

• $$\frac{6}{28}$$  

• $$\frac{5}{11}$$  

• $$\frac{1}{12}$$  

• $$\frac{3}{14}$$  

Multiple Choice

$$\frac{4}{5}\times\frac{1}{6}$$  

• $$\frac{10}{88}$$  

• $$\frac{7}{19}$$  

• $$\frac{2}{15}$$  

• $$\frac{4}{30}$$

Keep: Put the Whole number over one!

Switch: Switch it to Multiplication!

Flip: Show the reciprocal of the original fraction!

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Dividing Whole numbers by Fractions

Multiple Choice

8 ÷ ½  = _

• 4

• 2

• 8

• 16

Multiple Choice

4 ÷ 1/4 =

• 8

• 1/8

• 1/16

• 16

We were given thirds! So, we we cut our thirds into fifths making them fifteenths!

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Dividing Fractions by Whole Numbers

Fill in the Blanks

Multiple Choice

1/4 ÷ 5

• 1/20

• 1/9

• 5/20

• 1/4

Poll

How do you feel about multiplying and dividing fractions?