__Denominator:__ a denominator is the opposite of
a numerator, it is the bottom number in a fraction.

__Lowest terms:__ when a fraction is in lowest terms, the numerator has no more common factors with the denominator, and there for can not be divided any more.

__Equivalent fractions:__ two or more fractions of equal value. To find equivalent fractions, multiply or divide the numerator and the denominator
by the same number. For example (4/8)=(2/4) true or false? The question is true because is you divide the 1st fraction by
2, then it is equivelent to the 2nd fraction.

__Mixed numbers:__ a mixed number contains both whole numbers and fractions. For example: 7 2/3.

__Improper fractions:__ fractions with a value greater than 1. For example: 26/13. To find the value, simply divide
the numerator by the denominator. 26 (divided by) 13 is equvialent to 2.

__Adding fractions__: to add fractions, make sure all fractions have a common denominator, then add the numerators
and keep the denominators the same.

__Subtracting fractions:__ to subtract fractions, make sure all fractions have a common denominator (just like
adding), then subtract the numerators, and keep the denominators the same. For example: (2/4)-(4/8) is really (1/2)-(1/2)=(0/2).

__Multiplying fractions:__ to multiply fractions, multiply the numerators together, and the denominators together.
For example: (2/4)*(4/8)=(8/32)

__Dividing fractions__: when dividing fractions, invert (switch the denominator with the numorator) the second
fraction, then multiply the numerators together, and the denominators together. For example: (2/9 ÷ 3/12 = 2/9 * 12/3)

__Converting fractions to decimals:__ Divide the numerator by the denominator.

__Converting fractions to percents:__ divide the numerator by the denominator, then multiply by 100.

__Converting fractions into ratios:__ one number in the ratio will be the numerator, and the other will either
be the denominator, or the difference between the numerator and denominator. The order and whether to use the denominator
or the difference between the numerator and denominator will depend on the context. For example: (9/1) in a ratio is: (9:1),(1:9),(8:1),(1:8).

Decimals to fractions:

__Terminating
fractions:__

the
last decimal place becomes the denominator, and all non-leading zero digits become the numerator. For example: 0.095=95/1000

__Irrational decimals:__

Irrational
decimals cannot be made into fractions