Fractions are another form of _______.
The fraction bar that separates the numerator from the denominator show that you can______ the numerator by the denominator
3(dividend)/2(divisor) = 3÷2
Division/ Divide
Every Whole Number greater than _____ has EXACTLY ONE PRIME FACTORIZATION
One
What is the reciprocal of 5 (5/1)
1
-
5
How to make an improper fraction a mixed number
- Dvide the denominator into the numerator.
- The quotient becomes the whole number; the remainder becomes the numerator;
- The denominator remains the same.
When dividing fractions do not look for _________ until after you have changed the sign to multiplication
Common factors
The Multiplication property of Equality
Let a,b, and c be numbers, and c≠0
If a=b,
then a*c=b*c
and also a/c= b/c
A fraction that has a numerator with a a greater value than the denominator is considered _________.
an improper fraction
In terms of order of operations, complex fractions are ________first and then divided
Simplified
When multiplying fractions you should always ______ the product, or ______them as separate fractions before you multiply
Simplify
A natural number greater that 1 whos only factors are 1 and itself
Prime Number
Divisibility Test for 3
If the sum of the digit is divisible by
3 3,33,72,129 279
Divisibility Test for 9
If the sum of its digits is divisible by 9
The reciprocal of
2
5 is….
5
-
2
The fundamental property of fractions states _______
If A,B,and C are numbers, then…
A A x C A A÷C
— = — and — = —
B A x C B B÷C
As long as B & C are not 0.
Fractions that have the same or a common denominator are called_______.
While fractions that have different or uncommon denominators are called _________.
Like Fractions/ Unlike Fractions
When the numerator and denominator have no other common factors other than 1. What is this called
Simplest Form
or
Lowest Terms.
0/Y=
0 as long as Y is not = 0
The Least Common Denominator (LCD) is also the ___________
Least Common Multiple (LCM)
Two numbers are _____ of of each other if their product is 1
Reciprocals
A B A x B AxB
— — Because _ _ — = 1
B A B x A BxA
The fundamental property of fractions proves that if the numerator and denominator are multiplied or divided by the same number that the result is an_________.
Equivalent fraction
N/1=
N
Divisibility Test for 4
If the last two digits as one whole number (not summed up) are divisible by 4.
1,0224,52,28
How to divide fractions
Keep; The first fraction
Change; from division to multiplication
Flip; the second fraction to the reciprocal
Two Fractions that each represent the same portion of a whole or the same point on a number line are_______
Equivalent Fractions
Divisibility Test for 10
If its last digit is 0
10,100,1,000,10,000
Composite number
A natural number greater than 1 that is not prime
Prime factorization is…
When a composite number is written as a product of prime numbers.
The prime factorization of 12 is 2*2*3
All are prime all produce the product 12
The formula for adding like fractions.
A C A+C A C A-C
— + — = — — - — = —
B B B B B B
What is this
12
6 X 2
2X3 x 2
Factor tree
A fraction that has a denominator with a a greater value than the numerator is considered _________.
a proper fraction
What is the reciprocal of
7
- —
11
11
- —7
A fraction whose numerator or denominator or both numerator and denominator contain fractions
Complex Fractions
A____ is any number that divides another number evenly without a remainder of 0
Factor
To Simplify a fraction use the…
GCF
The number above the line in a common fraction showing how many of the parts indicated by the denominator are taken, for example…
2 in 2/3.
Numerator
The second method of simplifying complex fractions is to ________ all numerators and denominators of the complex fraction by the _____
MULTIPLY!/ LCD
Write the prime factorization of the numerator and the denominator
Then divide both by all common factors
And multiply the remaining factors, in the Numerator to producethe numerator product and then repeat in the denominator.
to do what???
To write a fraction is simplest form.
The process of writing a fraction in simplest form is called….
Simplifying
The formula for dividing fractions
If B,C, and D are not 0
A C A D AxD
— ÷ — = — x — = —
B D B C BxC
The first method of simplifying complex fractions makes use of the fact that a fraction bar means ______.
The complex fraction
x
-
4
—
3
-
2
can also be written as…
Division
x 3
- ÷ -
4 2
This number contains a whole number and a proper fraction
A mixed number
Z/Z=
1 as long as neither z is = 0
A numerical quantity that is not a whole number
Fraction
X/0=
undefined
Divisibility Test for 6
If it was also divisible by both 2 and 3
9858,9924 228,72
Divisibility Test for 2
If the only, or last digit is even.
2,8,10,24,50,98,100,834,2002
When working on NEGATIVE MIXED FRACTIONS, ITS VERY IMPORTANT TO KNOW ONE THING….
THAT
2 2
-3 — = - (3 — )
5 5
Divisibility Test for 5
If its last digit is 0 or 5
5,10,15,20,25
When all factors of the numerator or denominator are divided out dont forget that _____ still remains in the numerator or denominator.
1
The ____________ of a list of fractions is the smallest positive number divisible by all the denominators in the list.
Least Common denominator(LCD)
Make Unlike fractions Like fractions use the…
LCM/LCD
You can use a _____ to find the prime factorization of any number.
Factor Tree
Division by 0 is considered ______ so if you see a fraction with 0 as a denominator 2/0 is it considered _______.
Undefined
The formula to multiply fractions
If A,B,C, and, D are numbers and B and D are not 0 then
A C AxC
— x — = —
B D BxD
How to you make a mixed number an improper fraction
- Multiply the whole number by the denominator
- Add the numerator of the fraction to the product of step 1.
- Write the sum from step 2 as the numerator of the improper fraction.
A shorthand way of discovering whether a given number is divisible by a fixed divisor without performing the division, usually by examining its digits
Divisibility tests
The number below the line in a common fraction; a divisor.
Denominator
