Convert between percents fractions and decimals

Learning Objectives Convert any percent to its equivalent decimal and fraction. Convert any terminating or repeating decimal to its equivalent percent and fraction. Convert any fraction to its equivalent decimal and percent. Simplify fractions to their lowest terms after conversion. Apply the algebraic method to convert repeating decimals to fractions. Compare and order a set of numbers given in percent, fraction, and decimal formats. You see a phone advertised for 25% off, while another store offers the same phone for 1/3 off. Which is the better deal? 📱 This tutorial will equip you with the essential skill of converting numbers between percents, fractions, and decimals. Mastering these conversions is a foundational concept in mathematics that unlocks the ability to solve...

TermDefinitionExample PercentA ratio that represents a fraction of 100. The word 'percent' literally means 'per hundred'.45% means 45 out of 100, or the fraction 45/100. DecimalA number written in the base-10 system, where a decimal point separates the whole number part from the fractional part.0.75 represents seventy-five hundredths, which is the same as 75/100. FractionA number that represents a part of a whole, expressed in the form a/b, where 'a' is the numerator and 'b' is the denominator.The fraction 3/4 represents 3 parts out of a total of 4 equal parts. Terminating DecimalA decimal number that has a finite number of digits after the decimal point.1/8 = 0.125. The decimal ends after the digit 5. Repeating DecimalA decimal number that has a di...

Percent to Decimal P\% = \frac{P}{100} To convert a percent to a decimal, divide the percent value by 100. This is equivalent to moving the decimal point two places to the left. Decimal to Percent 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 a percent sign. Fraction to Decimal \frac{a}{b} = a \div b To convert a fraction to a decimal, divide the numerator by the denominator.