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Rotating a Parabola
Multiplying Fractions
Finding Factors
Miscellaneous Equations
Mixed Numbers and Improper Fractions
Systems of Equations in Two Variables
Literal Numbers
Adding and Subtracting Polynomials
Subtracting Integers
Simplifying Complex Fractions
Decimals and Fractions
Multiplying Integers
Logarithmic Functions
Multiplying Monomials
Mixed
The Square of a Binomial
Factoring Trinomials
The Pythagorean Theorem
Solving Radical Equations in One Variable
Multiplying Binomials Using the FOIL Method
Imaginary Numbers
Solving Quadratic Equations Using the Quadratic Formula
Solving Quadratic Equations
Algebra
Order of Operations
Dividing Complex Numbers
Polynomials
The Appearance of a Polynomial Equation
Standard Form of a Line
Positive Integral Divisors
Dividing Fractions
Solving Linear Systems of Equations by Elimination
Factoring
Multiplying and Dividing Square Roots
Functions and Graphs
Dividing Polynomials
Solving Rational Equations
Numbers
Use of Parentheses or Brackets (The Distributive Law)
Multiplying and Dividing by Monomials
Solving Quadratic Equations by Graphing
Multiplying Decimals
Use of Parentheses or Brackets (The Distributive Law)
Simplifying Complex Fractions 1
Adding Fractions
Simplifying Complex Fractions
Solutions to Linear Equations in Two Variables
Quadratic Expressions Completing Squares
Dividing Radical Expressions
Rise and Run
Graphing Exponential Functions
Multiplying by a Monomial
The Cartesian Coordinate System
Writing the Terms of a Polynomial in Descending Order
Fractions
Polynomials
Quadratic Expressions
Solving Inequalities
Solving Rational Inequalities with a Sign Graph
Solving Linear Equations
Solving an Equation with Two Radical Terms
Simplifying Rational Expressions
Exponents
Intercepts of a Line
Completing the Square
Order of Operations
Factoring Trinomials
Solving Linear Equations
Solving Multi-Step Inequalities
Solving Quadratic Equations Graphically and Algebraically
Collecting Like Terms
Solving Equations with Radicals and Exponents
Percent of Change
Powers of ten (Scientific Notation)
Comparing Integers on a Number Line
Solving Systems of Equations Using Substitution
Factoring Out the Greatest Common Factor
Families of Functions
Monomial Factors
Multiplying and Dividing Complex Numbers
Properties of Exponents
Multiplying Square Roots
Radicals
Adding or Subtracting Rational Expressions with Different Denominators
Expressions with Variables as Exponents
The Quadratic Formula
Writing a Quadratic with Given Solutions
Simplifying Square Roots
Adding and Subtracting Square Roots
Adding and Subtracting Rational Expressions
Combining Like Radical Terms
Solving Systems of Equations Using Substitution
Dividing Polynomials
Graphing Functions
Product of a Sum and a Difference
Solving First Degree Inequalities
Solving Equations with Radicals and Exponents
Roots and Powers
Multiplying Numbers
   

Fractions, Percents, and Decimals

 

Sevens

Notice that the fractional part of the mixed number percent for the sevens fractions for a pattern. Simply multiply the numerator by 2. If the product is greater than 7, then subtract 7 from the product.

Example:

Nines

With fractions of nines, simply multiply the numerator times 11 for the whole number part of the mixed number percent and tack on the original fraction.

Example:

Elevens

With fractions of elevens, simply multiply the numerator times 9 for the whole number part of the mixed number percent and tack on the original fraction.

Example:

 

Converting between fractions, decimals, and percents

Fractions to Decimals

To convert from fractions to decimals, divide the numerator by the denominator until you reach a remainder of zero.

Example:

Decimals to Fractions

To convert from decimals to fractions, think of the decimal as a whole number by dropping the decimal point. Then divide this number by a power of 10, using the same number of zeroes after the 1 as the number of places after the decimal point.

Example:

Change .15 to 15, and place it in a fraction over 100. We use 100 because it has two zeroes, the same number as the number of places after the decimal in .15. Then, reduce the fraction.

Decimals and Percents

To convert from decimals to percents, multiply by 100. This is also the same as moving the decimal two places to the right. To convert from percents to decimals, divide by 100. This is also the same as moving the decimal two places to the left.

Example:

(Move the decimal two places to the right.)

 

Advanced Tricks for Middle School and High School Students

There are several advanced tricks involving special types of fraction to decimal problems.

  • If the fraction has a denominator of 20, simply multiply the numerator by 5 and use two decimal places.
  • If the fraction has a denominator of 25, simply multiply the numerator by 4 and use two decimal places. Note: Sometimes, the denominator is written as .
  • If the fraction has a denominator of 40, simply multiply the numerator by 25 and use three decimal places, depending on the number. You can use the Multiplication by 25 trick with this type of problem.
  • If the fraction has a denominator of 50, simply multiply the numerator by 2 and use two decimal places.
  • If the fraction has a denominator of 80, simply multiply the numerator by 125 and use four decimal places. You can use the Multiplication by 125 trick with this type of problem.
  • If the fraction has a denomiator of 125, simply multiply the numerator by 8 and use three decimal places. Note: Sometimes, the denominator is written as .
 
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