Pemdas

PEMDAS with Fractions

Time to add some fractions.

Agenda

• Review what we know so far.

• Review fractions.

• PEMDAS: Lets put Fractions.

Multiple Choice

Which operations comes first in PEMDAS?

• Multiplication

• Subtraction

• Addition

• Exponents

Multiple Choice

TRUE OR FALSE

In PEMDAS, after doing all the parenthesis and exponents, you have to do multiplication or division from LEFT TO RIGHT.

• True

• False

Multiple Choice

$$4^2\div8-4$$  

Which operation should you do first?

• $$4^2$$  

• $$4\div8$$  

• $$8-4$$  

NOW LETS TRY SOME PRACTICES PROBLEMS!

Lets warm up your brain!

Multiple Choice

$$2\cdot5+4\div2$$  

• 7

• 12

• 3

• 16

 $2\cdot5+4\div2$  

•  $10+4\div2$  

•  $10+2$  

• The Answer is 12

Multiple Choice

$$\left(4+2^2\right)\cdot3$$  

• 8

• 12

• 24

• 11

 $\left(4+2^2\right)\cdot3$  

•  $\left(4+4\right)\cdot3$  

•  $\left(8\right)\cdot3$  

• The answer is 24

Multiple Choice

$$3^3-2\left(15-7\right)$$  

• 16

• 27

• 10

• 11

 $3^3-2\left(15-7\right)$  

•  $3^3-2\left(8\right)$  

•  $27-2\left(8\right)$  

•  $27-16$  

• The answer is 11

IS YOUR BRAIN WARMED UP?

Lets put some fractions.

• Lets do a short review.

ADDING AND SUBTRACTING FRACTIONS.

• Check if the Denominators are the same.

• If they are not the same, Find the Least Common Denominator.

• Change the problem

• Add or Subtract the Numerator.

• Put in Simplest form.

Multiple Choice

$$\frac{2}{6}+\frac{1}{3}$$  

Solve and put in simplest form.

• $$\frac{4}{6}$$  

• $$\frac{2}{3}$$  

• $$\frac{1}{2}$$  

 $\frac{2}{6}+\frac{1}{3}$  

• LCD: 6

•  $\frac{2}{6}+\frac{1\cdot2}{3\cdot2}$  

•  $\frac{2}{6}+\frac{2}{6}$  

•  $\frac{4}{6}$  

•  $\frac{2}{3}$  

Multiple Choice

$$\frac{2}{4}-\frac{1}{6}$$  

• $$\frac{4}{12}$$  

• $$\frac{1}{6}$$  

• $$\frac{1}{3}$$  

 $\frac{2}{4}-\frac{1}{6}$  

• LCD: 12

•  $\frac{2}{4\cdot3}-\frac{1}{6\cdot2}$  

•  $\frac{2\cdot3}{4\cdot3}-\frac{1\cdot2}{6\cdot2}$  

•  $\frac{6}{12}-\frac{2}{12}$  

•  $\frac{4}{12}$  

•  $\frac{1}{3}$  

MULTIPLYING FRACTIONS

• MULTIPLY THE NUMERATORS

• MULTIPLY THE DENOMINATORS

• SIMPLIFY

Multiple Choice

$$\frac{2}{5\ }\cdot\frac{1}{4}$$  
Solve and put in simplest form.

• $$\frac{2}{20}$$  

• $$\frac{1}{10}$$  

• $$\frac{1}{20}$$  

 $\frac{2}{5}\cdot\frac{1}{4}$  

•  $\frac{2\cdot1}{5\cdot4}$  

•  $\frac{2}{20}$  

•  $\frac{1}{10}$  

Dividing Fractions

• Use the Reciprocal (flipping the divisor)

• MULTIPLY THE NUMERATOR

• MULTIPLY THE DENOMINATOR

• SIMPLIFY

Multiple Choice

$$\frac{3}{5}\div\frac{1}{10}$$  

• $$\frac{30}{5}$$  

• $$30$$  

• $$6$$  

• $$\frac{1}{6}$$  

 $\frac{3}{5}\div\frac{1}{10}$  

•  $\frac{3}{5}\cdot\frac{10}{1}$  

•  $\frac{3\cdot10}{5\cdot1}$  

•  $\frac{30}{5}$  

•  $\frac{6}{1}$  OR $6$  

are you guys ok?

Multiple Choice

$$\frac{1}{2}+\frac{1}{5}\div\frac{1}{3}$$  

• $$1\ \frac{1}{10}$$  

• $$\frac{11}{10}$$  

• $$\frac{3}{5}$$  

• $$\frac{1}{10}$$  

 $\frac{1}{2}+\frac{1}{5}\div\frac{1}{3}$  

•  $\frac{1}{2}+\frac{1}{5}\cdot\frac{3}{1}$  

•  $\frac{1}{2}+\frac{3}{5}$  

•  $\frac{1\cdot5}{2\cdot5}+\frac{3\cdot2}{5\cdot2}$  

•  $\frac{5}{10}+\frac{6}{10}$  

•  $\frac{11}{10}$  

•  $1\ \frac{1}{10}$  

Multiple Choice

$$\frac{1}{3}+\left(\frac{2}{3}\right)^2\ \cdot3$$  

• $$\frac{15}{9}$$  

• $$\frac{7}{9}$$  

• $$1\ \frac{2}{3}$$  

• $$\frac{12}{9}$$  

 $\frac{1}{3}+\left(\frac{2}{3}\right)^2\ \cdot3$  

•  $\frac{1}{3}+\left(\frac{4}{9}\right)\cdot3$  

•  $\frac{1}{3}+\ \frac{4}{9}\cdot\frac{3}{1}$  

•  $\frac{1}{3}+\frac{12}{9}$  

•  $\frac{3}{9}+\frac{12}{9}$  

 $\frac{1}{3}+\left(\frac{2}{3}\right)^2\ \cdot3$  

•  $\frac{15}{9}$  

•  $\frac{5}{3}$  

•  $1\ \frac{2}{3}$  

Open Ended

What are you struggling at? Anything you want to go over next class?