7.3A & 7.3B Reteach Lesson.

Unit 1 - 7.3A & 7.3B Reteach Lesson

Adding  Fractions

 $\frac{3}{4}+\frac{1}{8}\ =\ \frac{3x2}{4x2}\ +\ \frac{1}{8}\ =\ \frac{6}{8}\ +\frac{1}{8}=\ \frac{7}{8}$  

• Step 1: Find a common denominator. You can change 3/4 by multiply the numerator (top) and denominator (bottom) by 2. 

•  This converts 3/4 to 6/8.

  
  

• Step 2: Add 6/8 to 1/8 by adding the numerator (top) and keep 8 as the denominator (bottom).

• The answer is 7/8

Fill in the Blanks

 $\frac{3}{5}\ +$  $\frac{1}{4}$  

Subtracting  Fractions

 $\frac{3}{4}\ -\frac{1}{8}\ =\ \frac{3x2}{4x2}\ -\ \frac{1}{8}\ =\ \frac{6}{8}\ -\frac{1}{8}=\ \frac{5}{8}$  

• Step 1: Find a common denominator. You can change 3/4 by multiply the numerator (top) and denominator (bottom) by 2. 

•  This converts 3/4 to 6/8.

  
  

• Step 2: Subtract 6/8 and 1/8 by subtracting the numerator (top) and keep 8 as the denominator (bottom).

• The answer is 5/8

Fill in the Blanks

 $\frac{2}{3}\ -\ \frac{1}{5}$  

Multiplying Fractions

 $\frac{2}{3}\ x\frac{1}{8}=\frac{2x1}{3x8}=\frac{2}{24}:Simply\ \ \frac{2\div2}{24\div2}=\frac{1}{12}$  

• Step 1: Multiply numerator (top) x numerator (top) 2x1 and denominator (bottom) x denominator (bottom) 3x8

•  Answer: $\frac{2x1}{3x8\ }=\frac{2}{24}$  

  
  

• Simplify your answer:  $\frac{2\div2}{24\div2}\ =\frac{1}{12}$  

Fill in the Blanks

 $\frac{2}{3}\ x\ \frac{2}{5}$  

Dividing Fractions and Mixed Numbers
 $-2\frac{1}{3}\div\frac{1}{2}=-\frac{7}{3}\div\frac{1}{2}=-\frac{7}{3}\times\frac{2}{1}=-\frac{14}{3}=-4\frac{2}{3}$  

• Step 1: Convert the mixed number to a improper fraction; $-2\ \frac{1}{3}=\ -\frac{\left(3x2\right)+1}{3}\ =\ -\frac{7}{3}$  

• Step 2: KCF  $-\frac{7}{3}\div\frac{1}{2}=\ -\frac{7}{3}\times\frac{2}{1}$  

  
  

• Step 3: Multiply numerator x numerator and denominator x denominator $-\frac{7}{3}\times\frac{2}{1}=-\frac{14}{3}\ \text{ }$ (neg x pos = neg)

• Step 4: Convert to a mixed number and simplify  $-14\ \div\ 3\ =\ -4\ \frac{2}{3}$  

Fill in the Blanks

 $-2\frac{1}{2}\ \div\ -\frac{3}{4}$  

Word Problem 

• There are 30 students in Coach Turners P.E. class.
  

•  $\frac{1}{3}$  of them choose to play basketball:    $\frac{1}{3}of\ 30\ =\ \frac{1}{3}\times30\ =\ \frac{1\times30}{3}\ =\ \frac{30}{3}=10$                           

•  $\frac{2}{5}$  of them choose to play football:   $\frac{2}{5}\ of\ 30=\frac{2}{5}\times30\ =\frac{2\times30}{5}=\frac{60}{5}=12$ 

• The rest of the students ran around the track.                                track students  = total students - (basketball & football students)  $30\ -\ \left(10\ +12\right)\ =\ 30\ -22\ =\ 8$                                          

Fill in the Blanks

There are 50 house in my neighborhood.

2/5 of the houses are 1 story

1/2 of the houses are two story

The rest of the houses are 3 story

How may houses are 3 story houses?

Word Problem 

• There are 20 players on the Spring City basketball team. The team purchased new uniforms. The players equally split the cost for the new uniforms. The uniforms cost $450.

• How much did each team member have to pay?  $450\div20=22.50$   

• Eight basketball players have not paid for the new uniforms.        How much money still has to be collected for the uniforms?   $22.50\times8\ =180$  

Fill in the Blanks

There are 10 students in Ms. Smiths class. The students purchased a gift for Ms. Smith. This gift cost $52.20. Each student split the cost of the gift equally. Seven students turned in their money for gift. How much money do they still need to collect to purchase the gift?

Word Problem -

• Bill and Mary when to the movie theater. They purchased 2 soda, one popcorn and one candy. The tax was $1.14. If they had a $20 bill, how much money will they receive back?                    Popcorn_________$6.55                                  Candy__________$1.59                                  Soda___________$3.25

• Step 1: Add up all of the purchased items plus the tax.                    3.25 + 3.25 + 6.55 + 1.59 + 1.14 = 15.78   
  

• Step 2: Subtract the total cost from the twenty dollars.                20.00 - 15.78 = 4.22

Fill in the Blanks

Bob went to Academy. He purchased 1 bag of sock, 2 shirts and one pair of shorts. The tax was $2.10. If they had a $30 bill, how much money will they receive back?

Movie Theater Menu

Items_________Cost

Socks_________$7.49

Shorts__________$8.50

Shirt___________$4.20