Fractions

divisor

A number by which another number is divided.

mixed number

Anumber that is made up of a whole number and a fraction

equivalent fractions

Fractions that name the same amount or part

Greatest Common Factor [GCF]

GCF is the greatest COMMON factor between two, or more numbers. For example, the GCF of 16 and 24 is 8.

Distributive Property

To multiply a sum by a number, multiply each addend [group of numbers added together] by the number outside the parentheses.

Multiplying Fractions

To multiply fractions, multiply the numerators and multiply the denominator, for example. 2/3 • 4/5 = 8/15. Expressed as Algebra, a/b • c/d = ac/bd, provided 'b' and 'd' ≠ 0

Multiplying with Mixed Fractions [One is Negative and One is Positive]

Using -5/6 • 3/8 as an example, first divide 6 and 3 by 3 [their GCF]. Then multiply the numerators [-5 • 1] and multiply the denominators [2 • 8]. Because these fractions have DIFFERENT signs [one is NEGATIVE and one is POSITIVE], the product [the result of this multiplication] is NEGATIVE.

Multiplying with Positive Fractions

Using 4/9 • 3/5 as an example, first divide 9 and 3 by 3 [their GCF]. Then multiply the numerators [4 • • 1] and multiply the denominators [3 • 5]. Finally, simplify the results [4/15].

Multiply Mixed Numbers

Using 4½ • 2⅔ as an example, 4½ = 9/2 and 2⅔ = 8/3. First, divide out the common factors [that is, 9÷3 and 3÷1, as well as 8÷2 and 2÷2]. Then multiply the numerator [3•4] and multiply the denominators [1•1]. Finally, simplify the result [12/1 or simply 12].

Applying the Distributive Property to Fractions

Using mental math, we can determine ⅓ of 540 equals 180. And by applying the DISTRIBUTIVE PROPERTY, 1⅓ of 540 should be calculated as 540 + 180, or 720.

improper fraction

a fraction that has a numerator that is greater than the denominator

common denominator

a number that is a denominator of two or more fractions

prime number

a whole number greater than one that has exactly 2 factors...1 and itself

product

answer to a multiplication problem

reciprocal

any two numbers whose product is one when multiplied

denominator

bottom number in a fraction

simplest form

can't divide any numbers out

quotient

divide

reciprocal (multiplicative inverse)

flip the fraction upside down

simplest form

fraction is in simplest form when the numerator and denominator have only 1 as a common factor

improper fraction

fraction whose numerator is GREATER than or equal to its denominator

equivalent fractions

fractions that name the same part of the whole, length, or set

greatest common factor

greatest factor of two or more numbers

improper fraction

larger numerator (change into a mixed number)

remainder

left over after dividing

dividend

number being divided: inside division bar

divisible

number is divisible by another number if NO REMAINDER

fraction

number less than one, part of a whole, written with a numerator and a denominator

factor

numbers that are multiplied to get a product; 1,2,3,4,6,12 are factors of 12

multiplicative inverse

one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2

multiple

product of two factors

simplify

reduce by dividing both parts of a fraction by their greatest common factor

divide fractions

step 1: flip second fraction step 2: multiply numerators straight across step 3: multiply denominators straight across step 4: simplify 4/5 divided by 2/8 becomes 4/5 X 8/2 = 32/10 = 16/5 (take 2/2 out) = simplify 3 1/5

add or subtract fraction

step 1: make denominator same (may borrow 1 from whole number) step 2: add or subtract numerator (keep denominator the same) step 3: simplify

multiply fraction

step 1: multiply numerators straight across step 2: multiply denominator straight across step 3: simplify 4/5 x 3/8 = 12/40 can take 4 out of top and bottom 3/10

fraction

symbol used to describe one or more parts of a whole that is DIVIDED into equal groups same as (2/4) or (2 divided by 4) or 0.50

sum

the answer when adding

denomiator

the bottom number in a fraction telling how many equal parts are in the whole

quotient

the number obtained by division

tenths

the number one place to the right of the decimal, in money it would be the dimes

hundredths

the number two places to the right of the decimal, in money it would be the pennies

divisor

the number used to divide another number: outside division bar

decimal point

the point that separates the whole number from the fractional part of the whole

numerator

the top number in a fraction, shows how many parts of the denominator are used

numerator

top number in a fraction

mixed number

whole number and a fraction