Converting Fractions, Decimals, and Percents

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.