Convert between percents, fractions, and decimals

Learning Objectives Define and identify percents, fractions, and decimals. Convert any given fraction to its equivalent decimal form. Convert any given decimal to its equivalent percent form. Convert any given percent to its equivalent decimal form. Convert any given decimal to its equivalent fraction form in simplest terms. Convert any given fraction to its equivalent percent form. Apply conversion skills to solve real-world problems involving these forms. Ever wonder how stores calculate discounts or how much of a pizza you've eaten? 🍕 It all comes down to understanding parts of a whole! In this lesson, you'll learn how to switch between percents, fractions, and decimals. Mastering these conversions will help you understand and compare quantities more easily...

TermDefinitionExample Percent'Per hundred' or 'out of one hundred'. It represents a part of a whole divided into 100 equal parts. The symbol is %.25% means 25 out of 100. FractionA way to represent a part of a whole or a division of two numbers. It consists of a numerator (top number) and a denominator (bottom number).1/4 represents one part out of four equal parts. DecimalA number that uses a decimal point to separate the whole number part from the fractional part. It's based on powers of ten.0.75 represents seventy-five hundredths. NumeratorThe top number in a fraction, indicating how many parts of the whole are being considered.In 3/5, 3 is the numerator. DenominatorThe bottom number in a fraction, indicating the total number of equal parts the whole is divided...

Fraction to Decimal `\frac{\text{Numerator}}{\text{Denominator}} = \text{Numerator} \div \text{Denominator}` To convert a fraction to a decimal, divide the numerator by the denominator. Decimal to Percent `\text{Decimal} \times 100\%` To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol (%). This is equivalent to moving the decimal point two places to the right. Percent to Decimal `\frac{\text{Percent Value}}{100}` To convert a percent to a decimal, remove the percent symbol and divide the number by 100. This is equivalent to moving the decimal point two places to the left. Decimal to Fraction `0.abc = \frac{abc}{1000}` (general form for three decimal places) To convert a decimal to a fraction, write the decimal as a fract...