Chapter 1

Chapter 1

Improper fraction- Mixed number

Example:

 $\frac{15}{2\ }=7\ \frac{1}{2}$  

Multiple Choice

Change the improper fraction to a mixed number.

 $\frac{15}{4}$  

•  $4\ \frac{1}{4}$  

•  $3\ \frac{3}{15}$  

•  $3\ \frac{3}{4}$  

Mixed Number to Improper Fraction

 $3\ \frac{2}{5}\ =\frac{17}{5}$  

Multiply 5 x 3=15 +2= 17
Move your denominator over.

Multiple Choice

Change the mixed number to an improper fraction.

 $4\ \frac{2}{5}$  

• 20/5

• 22/5

• 22/4

• 2/20

Adding Rational numbers.

When adding two negative numbers, the answer will be a negative number. -4 + (-5)= -9 or

-4 - 5 = -9

Multiple Choice

-2.1 + (-3.5) =

• -5.6

• 5.6

• -1. 4

• 1.4

Adding negative numbers with different signs. Examples:

-10 + 4 = -6

6 - 8.25 = -2.25

1/2 + (-3/4)= -1/4

Subtracting Rational numbers

Examples:

-6 -2 = -8

-3 -3 = -6

1 -9= -8

-5 - (-4) = 1

Multiplying and dividing Rational numbers--- Rules

pos x/ pos = pos 4 x 6 = 24

pos x/ neg= neg 4 x (-6)= -24

neg x/ pos = neg -4 x 6= -24

neg x/ neg= pos -4 x (-6)= 24

Multiplying Fractions

Multiply numerator (top number)
Multiply denominator (bottom number)

 $\frac{4}{5}\times\frac{1}{3}=\ \frac{4}{15}$  

Multiple Choice

 $-\frac{5}{7}\times\frac{2}{3}$  

•  $-\frac{15}{14}$  

•  $-\frac{10}{21}$  

•  $\frac{10}{21}$  

•  $\frac{7}{10}$  

14/7= 2

-14/7= -2

14/(-7)= -2

-14/(-7)= 2

Multiple Choice

-36/-9

• -4

• 4

Multiple Choice

-55/11

• -5

• 5

Multiple Choice

-45/-5

• 9

• -9

 $\frac{2}{5}\div-\ \frac{3}{5}$  =
 $\frac{2}{5}\ \times\ -\frac{5}{3}\ =\ -\frac{10}{15}=\ -\frac{2}{3}$  

Multiple Choice

 $\frac{2}{5}\div\ -\frac{3}{8}=$  

• 16/15

• -1 1/15

• -6/40

• -3/20