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Questions and Answers
What is the method to convert a fraction to a decimal?
What is the result of converting 0.75 to a fraction?
What is the method to convert a percent to a decimal?
What is the unit rate of a 6-pack of soda that costs $3.00?
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What is the ratio of 2 apples to 3 oranges?
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How do you solve the equation 4 + x = 6?
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What is the method to solve the equation 2(x + 3) = 8?
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What is the result of solving the equation 2(x + 3) = 8?
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What is the first step to convert a decimal to a fraction?
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What is the purpose of finding a unit rate?
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What is the result of converting the fraction 3/4 to a percent?
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What is the ratio of 3 apples to 4 oranges?
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What is the value of x in the equation 2x + 6 = 8?
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What is the distributive property used for?
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What is the result of converting the percent 25% to a decimal?
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What is the purpose of solving simple equations?
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Study Notes
Converting Between Fractions, Decimals, and Percents
- To convert a fraction to a decimal, divide the numerator by the denominator.
- To convert a decimal to a fraction, place the decimal over 1 and multiply the numerator and denominator by 10 until you get a whole number.
- To convert a fraction to a percent, convert the fraction to a decimal and multiply by 100.
- To convert a percent to a decimal, divide by 100.
- To convert a decimal to a percent, multiply by 100.
- To convert a percent to a fraction, write the percent as a fraction with a denominator of 100 and simplify.
Basic Calculation of Unit Rates
- A unit rate is the price per item or per unit.
- To find the unit rate, divide the price by the number of items or units.
Ratios
- A ratio compares two quantities.
- A ratio can be written in the form a:b, where a and b are the quantities being compared.
Basic Variable Equations
- To solve a simple equation, find the value of the variable that makes the equation true.
- To solve an equation, follow the order of operations (PEMDAS) and isolate the variable.
Variable Equations with Distribution
- The distributive property states that multiplication distributes over addition and subtraction.
- To solve an equation with distribution, distribute the multiplication over the addition or subtraction inside the parentheses, and then isolate the variable.
One and Two-Step Algebra Problems
- One-step equations require one operation to solve, such as addition or subtraction.
- To solve a one-step equation, perform the inverse operation to isolate the variable.
- Two-step equations require two operations to solve, such as addition and multiplication.
- To solve a two-step equation, perform the operations in the correct order to isolate the variable.
Converting Between Fractions, Decimals, and Percents
- To convert a fraction to a decimal, divide the numerator by the denominator.
- To convert a decimal to a fraction, place the decimal over 1 and multiply the numerator and denominator by 10 until you get a whole number.
- To convert a fraction to a percent, convert the fraction to a decimal and multiply by 100.
- To convert a percent to a decimal, divide by 100.
- To convert a decimal to a percent, multiply by 100.
- To convert a percent to a fraction, write the percent as a fraction with a denominator of 100 and simplify.
Basic Calculation of Unit Rates
- A unit rate is the price per item or per unit.
- To find the unit rate, divide the price by the number of items or units.
Ratios
- A ratio compares two quantities.
- A ratio can be written in the form a:b, where a and b are the quantities being compared.
Basic Variable Equations
- To solve a simple equation, find the value of the variable that makes the equation true.
- To solve an equation, follow the order of operations (PEMDAS) and isolate the variable.
Variable Equations with Distribution
- The distributive property states that multiplication distributes over addition and subtraction.
- To solve an equation with distribution, distribute the multiplication over the addition or subtraction inside the parentheses, and then isolate the variable.
One and Two-Step Algebra Problems
- One-step equations require one operation to solve, such as addition or subtraction.
- To solve a one-step equation, perform the inverse operation to isolate the variable.
- Two-step equations require two operations to solve, such as addition and multiplication.
- To solve a two-step equation, perform the operations in the correct order to isolate the variable.
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Description
Test your skills in converting between fractions, decimals, and percents. Learn the steps to convert between these different forms of numerical representation.
