26 terms

Factor

numbers that divide equally into a given number

Multiple

The product of any two numbers that are not zero is a multiple of those numbers

3x7= 21 so 21 is a multiple of 3 and 7

3x7= 21 so 21 is a multiple of 3 and 7

Prime

A number bigger than one that has only two factors: 1 and itself

Composite

A number that has 3 or more factors

Prime Factorization

Breaking down numbers and rewriting it as a product of prime factors

Fraction

Part of a whole

Equivalent Fractions

Fractions that equal the same thing

1/2= 2/4

1/2= 2/4

Simplest Form

The numerator and denominator cannot be reduced anymore by a common factor

Mixed Number

A mix between fractions and a whole number

Improper Fraction

Numerator is greater than the denominator

Cross Reducing

Finding commons factors between one numbers numerator and the other numbers denominator to reduce before multiplying

Reciprocal

The inverse of a fraction

knowledge

doodoodoo

How to find the GCF using the listing method or the prime factors method

Listing:

List the factors until you find a common one.

18: 1, 2, 3, 6, 9, 18

24: 1, 2, 3, 4, 6, 8, 12, 24

GCF= 6

Prime factors:

Find the prime factorization of each.Circle the common digits between the two. Multiply the common digits and that is your GCF

36: 2x2x3x3

42: 2x3x7

2x3=6

GCF=6

List the factors until you find a common one.

18: 1, 2, 3, 6, 9, 18

24: 1, 2, 3, 4, 6, 8, 12, 24

GCF= 6

Prime factors:

Find the prime factorization of each.Circle the common digits between the two. Multiply the common digits and that is your GCF

36: 2x2x3x3

42: 2x3x7

2x3=6

GCF=6

How to find the LCM of numbers using the listing method or the prime factors method

Listing:

List until you find common multiples

2: 2, 4, 6, 8, 10, 12

3: 3, 6, 9, 12

4: 4, 8, 12

Prime factorization:

Figure out the prime factorization of each. Cross out common digits. Multiply the remaining numbers of the smaller digit times the bigger number out of the two.

Ex:

8: 2x2x2

14: 7x2

LCM= 2x2x14= 56

=56

List until you find common multiples

2: 2, 4, 6, 8, 10, 12

3: 3, 6, 9, 12

4: 4, 8, 12

Prime factorization:

Figure out the prime factorization of each. Cross out common digits. Multiply the remaining numbers of the smaller digit times the bigger number out of the two.

Ex:

8: 2x2x2

14: 7x2

LCM= 2x2x14= 56

=56

How to reduce fractions to simplest form

Find common factors between the numerator and denominator then divide by that factor.

6/102 ➗ 2

= 3/51 ➗ 3

= 1/17

6/102 ➗ 2

= 3/51 ➗ 3

= 1/17

How to create equivalent fractions

Multiply or divide the numerator and denominator by the same common factor

1/2 x 7= 7/14

1/2= 7/14

8/12➗ 4= 2/3

8/12= 2/3

1/2 x 7= 7/14

1/2= 7/14

8/12➗ 4= 2/3

8/12= 2/3

How to convert from mixed number to improper fraction

take the mixed number multiply it by the denominator and add the product to your numerator

ex: 4 6/8

= 4x8

=32+6

=38/8

ex: 4 6/8

= 4x8

=32+6

=38/8

How to order fractions

Change all of the denominators to the same one. Order. Change back to it's original form. Include greater than/ less than signs in your final answer

How to add and subtract fractions and mixed numbers with unlike denominators

change all mixed numbers to improper fractions. Make sure they all have the same denominator. Add or subtract. Put in simplest form

How to multiply fractions and mixed numbers using cross reducing

Change all mixed numbers to improper fractions. Cross reduce. Multiply. You shouldn't have to simplify but if needed do it .

How to divide fractions and mixed numbers using a reciprocal

Change all mixed numbers into improper fractions. Reciprocate all fractions aside from the first one. Multiply and cross reduce if needed

How to use exponents and square roots with fractions

Exponents: To determine the base you have to solve a couple simple rules. If the question is in brackets to have to increase both the numerator and the denominator. If the exponent is on either the numerator or the denominator you only increase the one it's on. Once you determine the base you solve like any other power and simplify

Square roots. If the entire question is under a square root symbol you have to square root both the numerator and the denominator. If the square root symbol is on either the numerator or the denominator you only square root the one it's on. Once you determine what your square rooting you solve like any other problem and simplify

Square roots. If the entire question is under a square root symbol you have to square root both the numerator and the denominator. If the square root symbol is on either the numerator or the denominator you only square root the one it's on. Once you determine what your square rooting you solve like any other problem and simplify

How to convert a fraction to a decimal

Figure out if it's out of .1 .01 or .001. Then convert.

ex: 87/100= 0.87

50/100= 0.5

ex: 87/100= 0.87

50/100= 0.5

The pattern of fractions with denominator's of 9 or 8

8: increase by .125 each time

9: repeat numerator ex: .555555555555555555555 etc.

9: repeat numerator ex: .555555555555555555555 etc.

How to tell if a fraction will terminate, repeat or be mixed using the prime factorization

Terminating: denominators only prime factors are 2 or 5 ex: 1/4(x25)= 0.25

Repeat: None of the denominators prime factors are 2 or 5

ex: 1/11= 0.09090909090909090909090909090909......

Mixed: One prime factor is 2 or 5 and then another one

1/6= 0.1666666666666666666666666.....

Repeat: None of the denominators prime factors are 2 or 5

ex: 1/11= 0.09090909090909090909090909090909......

Mixed: One prime factor is 2 or 5 and then another one

1/6= 0.1666666666666666666666666.....