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27 Cards in this Set

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  • Back
  • 3rd side (hint)

State the definition of a fraction in a numeral

A fraction is part of the whole. 1 whole pizza can be divided into different fractional parts. If you ate 1 out of the 4 slices of pizza you ate 1/4 of the pizza

State the definition of a fraction as a number that represents relative amounts

Fractions on a number line, the parts adding up to the whole; how much there is of something.

Definition of numerator

The number of objects

Definition of denominator

The name of the objects

Simplest form definition

When 2 fractions can't be reduced by the same number

When I'd a fraction in simplest for or lowest terms

When no other number divides evenly into both the numerator and denominator.

Cross product

This method is used to compare 2 fractions, it involves multiplying the numerator of one fraction by the denominator of another fraction & then determining if the fractions are bigger, smaller, or equivalent

Improper fraction

One where the numerator is larger than or equal to the denominator

Mixed number

A whole number & a fraction

To convert from a mixed number to an improper fraction

Multiply your denom by whole #


Add the result to the numerator the number becomes the numerator


The denom is unchanged.


To convert from an improper fraction to a mixed number

Divide the denom into the numerator


The whole # becomes the whole # in your answer


The remainder becomes the numerator of the fractional part of answer


Original denom stays the same


Complex fraction

Where the numerator is an operation of fractions where the numerator or denominator is a fraction


Equality of fractiona

Use the multiplication property of 1. A fraction can be changed into another equivalent fraction by multiplying by 1 in any form by doing this the value is maintained

Less then and greater then for fractions

If the denominators are the same, the higher numerator is a greater fraction. If the denims are different change the denoms into lcd & see which numerator is greater

Shortcut: you can ONLY compare 2 fractions by cross multiplying

Density

An infinite number of fractions between fractions & whole numbers on a number line.

Addition

Altogether is a key word used for addition.


Find a common denominator. Use the LCM # that both numbers go into.


Rewrite the fractions with the common denominator


Add the whole numbers and fractions.

Subtracting fractions

Set up the problem with the larger whole # 1st.


Find the common denominator


Use the LCM for the common debominator.


In order to complete the subtraction change the problem so the 1st fraction is larger.


Key word: how much is left

Division key words

Read the hint

No key words here but division is implied because the total pounds are stated and the amount is also given.


Start with the larger number


Invert the 2nd number and change to a multiplication problem. Multiply the numerator


Simplify

Multiplicative Inverse

The recip

Recip

The fraction flipped.

Keep it, change it, flip it

Keep the first fraction.


Change the sign.


Flip the second fraction.

Closure property

The set of whole numbers including 0 but doesn't include decimals or fractions.

Distributive

Distribute the number outside to the parentheses multiplying the first number that was distributed add that to the second number that is distributed

4 (8+3) = 4×8+4×3

Commutative

Changing the order of fractions doesn't change the product

Associative

Changing the grouping doesn't change the product

Identity

The product of 1 & any number is that number

Inverse

Any # added to its opposite will equal 0

5 +(-5)=0