Convert between percents, fractions, and decimals

Learning Objectives Define and identify percents, fractions, and decimals as different representations of parts of a whole. Accurately convert any given percent to its equivalent decimal form. Accurately convert any given decimal to its equivalent percent form. Convert fractions to decimals by performing division and vice versa. Convert percents to fractions and fractions to percents, simplifying fractions to their lowest terms. Solve real-world problems involving conversions between percents, fractions, and decimals. Ever wondered how stores calculate discounts or how your test scores are represented? 🤔 It all comes down to understanding percents, fractions, and decimals! In this lesson, you'll learn how to seamlessly switch between these three fundamental ways of re...

TermDefinitionExample PercentA way to express a number as a fraction of 100. The word 'percent' means 'per hundred' or 'out of one hundred'. It is denoted by the symbol '%'.25% means 25 out of 100, or 25/100. FractionA numerical quantity that is not an integer. It represents a part of a whole, expressed as a ratio of two integers, a numerator over a denominator.1/2 represents one part out of two equal parts. DecimalA number that includes a decimal point, separating the whole number part from the fractional part. The digits to the right of the decimal point represent tenths, hundredths, thousandths, and so on.0.75 represents seventy-five hundredths. NumeratorThe top number in a fraction, which indicates how many parts of the whole are being considere...

Percent to Decimal Conversion $$P\% = \frac{P}{100}$$ 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 Percent Conversion $$D = D \times 100\%$$ 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. Fraction to Decimal Conversion $$\frac{N}{D} = N \div D$$ To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). Decimal to Fraction Conversion $$D = \frac{\text{digits after decimal}}{10^k}$$ (where k is the number of decimal places) To convert a terminating decimal to a fraction, wri...