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General Educational Development (GED): Ratio, Proportion, & Percent

Guide will help adult education students with math, science, social studies, language arts and reading comprehension in order to prepare for their GED Exams.

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Percentages

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GED prep

Proportions

Unit Rates

Percent

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Worksheets

Ratios, proportions, percents worksheets 

Free printable worksheets on Ratios, percentages, and proportions

Ratio Worksheets 

Free worksheets for practice solving ratios

Ratio and Proportion Worksheets 

Free printable worksheets for additional practice

Free worksheets for ratio word problems 

Printable Worksheets for ratio word problems

Ratios and Proportion Worksheets 

Free printable worksheets

Ratios 

Free worksheets for addition practice solving ratios and proportions

Proportion Word Problems 

Worksheets on proportion word problems

Proportion worksheets 

Free worksheets for additional help with proportions

Ratio,Proportion, and Percent 

Worksheet on Ratio,Proportion, and Percent

Grade 8 Math Worksheets 

Free worksheets on percentages, integers, expressions, fractions, and more

Ratios

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Percent

Ratio, Proportion, & Percent

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Ratio, Proportion, & Percent

Ratios

Ratios

 Ratios are a mathematical expression to compare units.

ratio 3:1
There are 3 blue squares to 1 yellow square

When describing a ratio, the first number is known as the ‘antecedent’ and the second is the ‘consequent’. So, in the ratio 4:2, the antecedent is 4 and the consequent is 2.

Ratios can be written in three ways:

x to y

x:y

x / y

Ratios 

How to identify and solve ratios

 

Introduction to Ratios 

Introduction lesson on Ratios by Khan Academy

 

Ratios 

Understanding ratios and solving ratio problems

 

Unit: Ratios, rates, proportions 

Lessons in Ratios, rates, proportions

Proportions

Proportions

 A proportion is an equation that says that two ratios are equivalent.

 

When setting up a proportion formula make sure the units in each ratio are the same. If you put one unit in the numerator for one of the ratios then the second ratio should have that same unit in its numerator position.

 

 

Example: what is 25% of 160 ?

1. First step is to setup the proportion formula

The percent is 25, the whole is 160, and we want to find the "part":

  X     =   25  

160         100

2. Multiply across the known corners, then divide by the third number:

Part/160 : 25/100

X = (160 × 25) / 100
= 4000 / 100
X = 40

Answer: 25% of 160 is 40.

Ratios and proportions and how to solve them 

Steps on how to solve ratios and proportions

 

Solving proportions 

Lessons on proportions from Khan Academy

 

Proportions 

All about solving and setting up proportions

 

Ratio and Proportion Formula 

Overview of the Ratio and Proportion Formula

 

Math 

Need help with basic addition? Looking to expand your knowledge of fractions, decimals, and percents? Want to learn algebra? Use these interactive lessons to learn them all, then test your knowledge.

Percents

Percentages

Percent means “for every 100” or "out of 100."

 Percentage is a fraction whose denominator is 100.

 

Percentages can be written as decimals by moving the decimal point two places to the left.

Decimals can be written as a percentages by moving the decimal point two places to the right

percent proportion is an equation where a percent is equal to an equivalent ratio.

 

Formula for percentage

Example:

25 % of 200 is ____

In this problem, of = 200, is = ?, and % = 25

We get:

is/200 = 25/100

Since is in an unknown, you can replace it by X to make the problem more familiar.

  X   =    25  

200       100

Cross multiply to get X × 100 = 200 × 25

y × 100 = 5000

Divide 5000 by 100 to get y


Since 5000/100 = 50, y = 50

So, 25 % of 200 is 50

Percentages 

Overview on how to solve percentages

 

Percents (%) 

How to calculate percentages

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