Review Chapter 2: Fractions

Review Chapter 2: Fractions

This can be taken as many times as needed for you to achieve a good score.

In this review:

• The items listed should be put on your note cards for the test.

• This is a good practice site as well as informational site.

Fractions

• There are four types of fractions:

• Proper:

   $\frac{1}{3}$  

• Improper: $\frac{14}{5}$  

• Mixed numbers:  $5\ \frac{1}{8}$  

• Complex fractions:   $\frac{\frac{5}{3}}{\frac{2}{7}}$  

• Notice the difference between each type of representation.  The numerator and denominator determine the type of fraction.  Complex fractions are written as a division problem.  Why?

Multiple Choice

Which one of the following is a proper fraction ?

• $\frac{78}{34}$

• $\frac{25}{50}$

• $\frac{67}{56}$

Multiple Choice

Q. Classify this fraction:

 $\frac{11}{4}$  

• Proper fraction

• Mixed number

  
  

• Improper fraction

• Unit fraction

Multiple Choice

Classify each fraction as proper, improper or mixed number:  $\ 6\frac{1}{4}$  

• proper fraction

• improper fraction

• mixed number

Multiple Choice

If the numerator is greater than denominator then this type of fraction is called

• improper fraction

• proper fraction

• mixed fraction

• unit fraction

Multiple Choice

If the denominator is greater than numerator then this type of fraction is called

• Improper

• proper

• unit

• mixed

Proper Fractions

• Numerator is smaller than the denominator

• Can be simplified or reduced by using the greatest common factor between the numerator and the denominator.

• Can be made equivalent by multiplying both numerator and denominator to match fraction being bumped up.

Multiple Choice

Simplify 6/42

• 2/5

• 3/7

• 1/7

• 3/21

Multiple Choice

Select the equivalent fraction for 2/3

• 4/6
• 8/10
• 3/9
• 6/12

Multiple Choice

Which of the following is an equivalent fraction to 5/6?

• 9/12
• 10/12
• 8/12
• 14/18

Multiple Choice

Find the missing numerator:
2/3 = ?/9

• 1/9
• 4/9
• 6/9
• 7/9

Multiple Choice

Which is NOT an equivalent fraction to one half?

• 2/4
• 2/3
• 4/8
• 3/6

Multiple Choice

Which fraction is equivalent to 1?

• 1/2
• 1/10
• 5/5
• 5/1

Multiple Choice

Simplify 8/12

• 2/3
• 3/4
• 1/2
• 4/6

Multiple Choice

Simplify 4/16 to lowest terms.

• 4/16

• 2/8

• 1/4

• 2/4

Multiple Choice

Simplify 2/8

• 2/8
• 1/2
• 2/3
• 1/4

Improper fraction

• Denominator is larger than the numerator

• They can be made into mixed numbers.

• Mixed numbers can be made into improper fractions.

• Put on CARD: When multiplying, dividing, adding or subtracting mixed numbers, change them into improper fractions.

Fill in the Blank

Convert the mixed number to an improper fraction:

 $3\frac{5}{9}$  

Multiple Choice

Convert the improper fraction to a mixed number:

 $\frac{16}{4}$  

•  $3\ \frac{1}{4}$  

•  $4\ \frac{1}{4}$  

• 4

•  $\frac{4}{16}$  

Multiple Choice

Convert the improper fraction to a mixed number:

 $\frac{9}{7}$  

•  $1\ \frac{1}{2}$  

•  $1\ \ \ \frac{2}{7}$  

•  $1\ \frac{2}{9}$  

•  $1\ \frac{3}{7}$  

Fill in the Blank

Convert the improper fraction to a mixed number:

 $\frac{12}{5}$  

Fill in the Blank

Convert the mixed number to an improper fraction:

 $5\frac{4}{10}$  

Fill in the Blank

Convert the mixed number into an improper fraction.

 $2\frac{2}{3}$  

Multiplying fractions

• ON CARD: Steps for multiplying

• Multiply the numerators

• Multiply the denominators

• Simplify: If it is a proper fraction see if it can be reduced. If it is improper change it to a mixed number.

Multiple Choice

 $\frac{2}{7}$  x 5= simplify

• $1\ \frac{3}{7}$

• $\frac{10}{7}$

• $1\ \frac{1}{2}$

• None of the above

Multiple Choice

Multiply. 

• 12 5/6
• 77/6
• 6/77
• 12 6/5

Multiple Choice

Find the product:

• 3/50
• 30/5
• 6
• 1  1/5

Multiple Choice

Multiply these fractions

• 2 / 18
• 2 / 7
• 1 1/3
• 2 / 1.6

Multiple Choice

• ⁴/₉

• ³/₉

• ³/₂₀

• ⁴/₂₀

Multiple Choice

• ²/₆

• ²/₉

• ¹/₉

• ¹/₆

Multiple Choice

• ²/₅

• ¹/₁₀

• ²/₁₀

• ¹/₇

Division of fractions

• Important: The second fraction of a division problem has to be the reciprocal.

• Reciprocal: the inverse of the original fraction

• Ex.

   $\frac{3}{4}\ \ becomes\ \frac{4}{3}$  

• After the second fraction "flips" the problem is like a multiplication problem.

•  $\frac{3}{4\ }\ \ \div\ \ 6=\ \frac{3}{4}\ \times\ \frac{1}{6}=\frac{3}{24}\ =\frac{1}{8}$  

Multiple Choice

5 ÷ ⅕

• ⅕
• 1/25
• 5
• 25

Multiple Choice

1/3 ÷ 4

• 1 1/3
• 1/12
• 12
• 3/4

Multiple Choice

⁴/₉  ÷  ¹/₂

• ⁸/₉
• ⁵/₁₁
• ⁶/₁₀
• ⁴/₁₈

Multiple Choice

¹/₄  ÷  ²/₅

• ⁵/₈
• 2/20
• ¹/₁₀
• ³/₉

Multiple Choice

6/7 divided by 3/7

• 18/7 or 2 4/7
• 2
• 3/2 or 1 1/2
• 1 2/7

Multiple Choice

What is the reciprocal of ⅝

• 8/5
• 5/8
• -5/8
• -8/5

Multiple Choice

What is the reciprocal of 2

• 4

• 1/2

• 2/1

• 2/2

Multiple Choice

What is the reciprocal of 2 1/4?

• 9/4
• 4/9
• 2    2/8
• 18/8

Multiple Choice

What is the reciprocal of 7/8?

• 1
• 14/16
• 8/7
• 7/8

LCM and LCD: What are they and when do I use them

• Least common multiple: the multiple that is the lowest between two values.

• EX: 4 and 12

• 4: 1x4, 2x4, 3x4, 4x4---

• 12: 1x12, 2x12, 3 x 12...

• After multiplying the LCM is 12.

• We use this method to find the LCD when comparing, adding unlike fractions and subtracting unlike fraction.

Multiple Choice

True or False
3/5  $<$   2/10

• true

• false

Multiple Choice

Compare the fractions.

4/10 ______________3/10

• $<$

• $>$

• $=$

Multiple Choice

Compare the two fractions. 6/12___________3/4

• $<$

• $>$

• $=$

Multiple Choice

Compare 3/4 and 1/2

• 3/4 > 1/2
• 3/4 < 1/2
• 3/4 = 1/2

Multiple Choice

Which fraction is equivalent to 1?

• 1/2
• 1/10
• 5/5
• 5/1

Adding and subtracting fractions

• The most important thing is the denominator must be the same or like.

• EX:

   $\frac{3}{15}\ \ +\ \ \frac{5}{15}=\ \frac{8}{15}$  Notice the denominator is the same so when adding only the numerator is added.

• When the fractions are different, you need to find the LCD and make equivalent fractions.

•  $\frac{3}{5}\ -\ \frac{1}{4}\ LCD\ is\ 20\ so\ \frac{3}{5}=\frac{12}{20}and\ \frac{1}{4}=\frac{5}{20}$  Now the subtraction can be finished.

• When there are whole numbers adding to fractions or mixed numbers, the whole number can be made into a fraction.

• Ex.  4 =  $\frac{ }{5}\ \ =\ \frac{20}{5}$  

Multiple Choice

Solve

• 8 1/4

• 7 3/4

• 7

• 7 1/4

Multiple Choice

2 1/4 + 3 2/12

• 5 3/4
• 5 5/12
• 5 3/12
• 5 2/4

Multiple Choice

4/5 - 1/10

• 3/5
• 7/10
• 4/50
• 5/15

Multiple Choice

1/5 + 4/15=

• 5/20
• 3/10
• 3/15
• 5/15

Multiple Choice

Subtract: 2 1/4 - 1 3/4

• 1 2/4
• 2/4
• 9/4
• 7/4

Multiple Choice

Subtract the following unlike fractions, and simplify if necessary. $\frac{2}{3}-\frac{1}{2}$ 

• 1/6

• 1/2

• 2/3

• 3/2

Multiple Choice

What like unit can I use for 1/10 and 1/3?

• 6

• 5

• 1

• 30

Multiple Choice

When I make like units I use an equivalence strategy.

• True

• False

Multiple Choice

3/8 and 1/3 have like units.

• True

• False

Multiple Choice

1 3/7 and 7 1/7 have like units.

• True

• False

Multiple Choice

4/6 - 1/6 = ?

• 5/6

• 1/12

• 3/6

• 5/12

Multiple Choice

What is the sum of the following equation:

2/8 + 4/8 =

• 6/16

• 2/8

• 6/8

• 2/16

Multiple Choice

3/9+2/9 = ?/9

• 2/9

• 0/9

• 5/9

• 1 pizza

Identifying what operation to use when solving story problems and fractions.

• Look for que words in the problem.

• Addition: Sum, Total, additional

• Subtraction: Difference, less than

• Multiplication: Product, total, multiple

• Division: per, quotient

Multiple Choice

Michael has 25 pictures in an album. Cristian has 43 pictures in album. How many pictures do they have in all?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

There are 56 crayons in a box. The box has 7 different colors. How many crayons are there of each color?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

Vivian had 17 pencils. David had 32 pencils. How many more pencils does David have than Vivian?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

There are 4 rows of desks in a classroom. Each row has 9 desks in it. How many desks are there in all?

• Addition

• Subtraction

• Multiplication

• Division

Order of operations and fractions

• Put all the information together that you have learned about fractions. When do you used LCD? When does a reciprocal come into play?

• Now remember the order of operation.

• 1. Grouping symbols

• 2. Exponents

• 3. multiplication/division which ever happens first left to right

• 4. addition /subtraction which ever happens first left to right

Multiple Choice

 $\frac{2}{3}\times\left(1\ \frac{1}{3}+\frac{5}{3}\right)$  

•  $\frac{25}{9}$  

•  $2$  

•  $2\ \frac{5}{9}$  

•  $\frac{23}{9}$  

Multiple Choice

• $\frac{8}{9}$

• $\frac{1}{80}$

• $\frac{21}{40}$

• $\frac{9}{8}$

Multiple Choice

• $\frac{4}{45}$

• $\frac{2}{15}$

• $\frac{28}{45}$

• $\frac{45}{45}$

Multiple Choice

Evaluate (solve) the expression. Write the answer in simplest form. 
 $\frac{2}{3}-1\frac{4}{7}\div4\frac{5}{7}$  

•  $\frac{1}{3}$  

•  $\frac{2}{3}$  

•  $1\frac{1}{3}$  

•  $3\frac{4}{7}$  

Multiple Choice

Evaluate (solve) the expression. Write the answer in simplest form. 
 $\frac{4}{5\ }+\frac{2}{5}÷\ 4$  

•  $\frac{2}{5}$  

•  $\frac{6}{5}$  

•  $\frac{9}{10}$  

• 2

That's all folks! You can go through this activity as many times as you want. Remember this is worth 15 bonus points. Use your cards and copy the information from the black slides. See you test day!