Download A ratio is a comparison of two numbers by division. An integer is a

A ratio is a comparison of two numbers by division.
An integer is a positive or negative whole number. {…, -2, -1, 0, 1, 2, …}
Numbers that can be written as a comparison of two integers, expressed as a
fraction, are called rational numbers. The root of the word rational number is
ratio.
Percents
Decimals
0.32 =
8/25
19% =
19/100
Fractions
and Mixed
Numbers
RATIONAL NUMBERS: numbers that can
be written as a ratio of two integers.
Rational
Numbers
Integers
Whole
Numbers
Natural
Numbers
Every rational number can be written as a decimal by dividing the numerator (top
number) by the denominator (bottom number). The decimals that are formed are
either terminating decimals or repeating decimals. Terminating decimals end.
For example: 0.35 is a terminating decimal because it stops. Repeating decimals
continue on forever with a repeating pattern. Sometimes it is one number that
repeats and other times it is multiple numbers that repeat. Either way, we put a
bar over the digits that repeat. This is called bar notation. For example:
Write each fraction as a decimal. If the fraction is a mixed number, the whole
number goes to the left of the decimal point.
a.
3
4
b. 
2
9
c. 4
13
25
d. 3
1
11
To write a decimal as a fraction, read the place value. That is the denominator of
the number. Then you can simplify. For example: 0.45 ends in the hundredths
place. To make it a fraction, it would be 45 over 100. Then we can reduce.
Writing a repeating decimal as a fraction can be a little tricky. Look at the
following example:
Write 0.5 as a fraction:
Step 1: Assign a variable to the value
N = 0.555….
Step 2: Multiply both sides of the equation by 10
10N = 10(0.555…)
*Note: We multiply by 10 because one digit repeats. If 2 digits repeat,
multiply by 100. If 3 digits repeat, by 1,000…so on and so forth.
Step 3: Simplify
10N = 5.555…
Step 4: Subtract N to eliminate the repeat
10N = 5.555…
-N
-N
9N = 5
Step 5: Solve for N
N = 5/9
Examples:
a.
.18
b.  0.14
c. 0.27