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
