Convert between percents, fractions, and decimals

Learning Objectives Define percents, fractions, and decimals as different representations of parts of a whole. Convert any given percent to a decimal and a fraction in simplest form. Convert any given decimal to a percent and a fraction in simplest form. Convert any given fraction to a decimal and a percent. Apply conversion skills to solve real-world problems involving parts of a whole. Identify and correct common errors made during conversions. Ever wonder how stores calculate discounts, how much of a pizza you've eaten, or what your grade really means? 🍕 In this lesson, you'll learn that percents, fractions, and decimals are just different ways to express parts of a whole. Understanding how to convert between them is a super useful skill that helps you make se...

TermDefinitionExample PercentA way to express a number as a fraction of 100. The word 'percent' means 'per hundred' or 'out of 100'. It is denoted by the symbol '%'.50% means 50 out of 100, or 50/100. FractionA number that represents a part of a whole. It is written as a ratio of two numbers, a numerator (top number) and a denominator (bottom number).1/2 represents one part out of two equal parts. DecimalA number that uses a decimal point to represent parts of a whole. The digits to the right of the decimal point represent fractions with denominators that are powers of 10 (tenths, hundredths, thousandths, etc.).0.5 represents five tenths, which is 5/10 or 1/2. NumeratorThe top number in a fraction, which indicates how many parts of the whole are bei...

Percent to Decimal Conversion P\% = \frac{P}{100} To convert a percent to a decimal, divide the percent 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. This is equivalent to moving the decimal point two places to the right and adding the percent symbol. Fraction to Decimal Conversion \frac{a}{b} = a \div b To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). Decimal to Fraction Conversion 0.xyz = \frac{xyz}{1000} To convert a decimal to a fraction, write the digits after the decimal point as the numerator. The denominator will be a power of 10 corresponding t...