**Directions: Please read very carefully. Complete all of
the problems.
Show all of your work. You may NOT use a calculator**

A fraction represents a part out of a whole. Normally the
**numerator** (top half) of the

fraction is smaller than the **denominator** (bottom half). This is called a
**proper fraction,**

a number less than 1.

Practice: Represent the shaded portion of each shape with
a fraction.

Sometimes the numerator is equal to or larger than the
denominator. This is called an

**improper fraction, **a number equal to or greater than 1.

Each small portion above represents one-fourth of a rectangle. There are 13
fourths,

which can be written as the **improper fraction**13/4 or as the **mixed
number**

Convert the following improper fractions to a mixed
number.

Convert the following mixed numbers to improper fractions.

All three fractions represent the same piece of the rectangle. There is an **
infinite**

(endless amount) of fractions equivalent to any given fraction.

For example, the fraction

Practice: Determine the value of the question mark that
would create an equivalent

fraction.

Fractions can also be written in **simplest form**
(reduced). For example, 50/100 can be

reduced to ½.

Practice: Reduce the following fractions.

When adding or subtracting fractions you need to find
change each fraction by creating

equivalent fractions with the same denominator. Next, you add or subtract the

numerators, keeping the common denominator. Always make sure that your solution
is

written in simplest form and in proper form. For example,

Practice: Find the **sum** (answer to an addition
problem) or the **difference** (answer to a

subtraction problem.

When multiplying fractions you do not need a common
denominator. To find the new

numerator, you simply multiply the numerators. To find the new denominator, you
simply

multiply the denominators. Finally, always reduce your answer. For example,

which reduces to

Dividing fractions is trickier. Always remember to KEEP,
CHANGE, and REARRANGE.

You KEEP the first fraction the way it is. You CHANGE the division sign to a

multiplication sign. REARRANGE the second fraction by taking the **reciprocal**
of the

fraction (flipping it). Finally, multiply like you did above. Make sure to
reduce.

For example, which reduces to

**Directions: Please read very carefully. Complete all of
the problems.
Show all of your work. You may use a calculator.**

There are different ways to write the same number. For
example, the fraction ½ can

be written as the decimal, 0.5, or the percent, 50%.

A fraction is also a division problem. To convert a
fraction to a decimal, you must divide

the numerator by the denominator.

For example, ¼ is equal to 1 ÷ 4 which is equal to 0.25.

To convert a decimal to a percent, you simply multiply the
decimal by 100 (moving the

decimal place to the right two places).

For example, 0.25 is equal to 25%.

Practice: Convert the following fractions to decimals,
rounding the decimal to the

nearest hundredth place. Then, convert the decimal to a percent.

29) 3/8 = _________ = _________

31) 11/7 = _________ = _________

30) 5/12 = _________ = _________

32) 8/15 = _________ = _________

__ Fraction/Percent Word Problems:__33) Mr. Wagner’s class contains 18 girls out of 29 students. What
percent of Mr.

Wagner’s class are girls? Show your work.

34) An orange juice mixture contains 20% concentrate and
80% water. If the

mixture contains a total of 50 ounces of liquid, how many ounces of

concentrate are in the mix? How many ounces of water are in the mix? Show

your work.

Area

Rectangle = L × W | Triangle = ½ × Base Length × H | Circle = πr² |

__Perimeter/Circumference__ = the distance (in
units) around a shape.

Circle = dπ (diameter = 2r)

Use the correct formula from above to help you answer the following questions.

Find the area, perimeter, or circumference of the
following shapes.

35)

Area - _____________

Perimeter - _________

36)

Area - _____________

Perimeter - _________

37) A square with a length of 12cm.

Area - _____________

Perimeter - _________

38)

Area - _____________

Perimeter - _________

39)

Area - _____________

Perimeter - _________

40) A circle with a diameter of 20ft.

Area - _____________

Perimeter - _________