Converting Fractions, Decimals, and Percents

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The process of expressing a number as a fraction, decimal, or percent.

Fraction Basics: Understanding what a fraction is and how it can be represented visually.
Fraction to Decimal Conversion: Learning how to convert fractions to decimals using division.
Decimal to Fraction Conversion: Learning how to convert decimals to fractions by identifying the decimal place values.
Fraction to Percent Conversion: Understanding how to convert fractions to percents by multiplying the fraction by 100.
Percent to Fraction Conversion: Learning how to convert percents to fractions by representing the percent as a fraction with a denominator of 100.
Decimal to Percent Conversion: Understanding how to convert decimals to percents by multiplying the decimal by 100.
Percent to Decimal Conversion: Learning how to convert percents to decimals by dividing the percent by 100.
Percent Word Problems: Applying the concepts of converting fractions, decimals, and percents to real-world situations.
Fraction, Decimal, and Percent equivalents: Understanding how to find equivalent representations of a given value in each of these forms.
Complex Fractions: Learning how to simplify complex fractions containing fractions within them.
Percent Application Problems: Solving word problems involving percents such as discounts, taxes, and interest rates.
Unit Conversions: Understanding how to convert units of measurement between fractions, decimals, and percents.
Converting Fractions to Decimals: This involves dividing the numerator by the denominator to get the decimal equivalent of a fraction.
Converting Decimals to Fractions: This involves writing a decimal as a fraction with the same value. The denominator is usually 10, 100, 1000, etc., depending on the number of digits after the decimal point.
Converting Fractions to Percents: To convert a fraction to a percent, we need to multiply the fraction by 100 and put the percent symbol (%) next to it.
Converting Percents to Fractions: To convert a percent to a fraction, we need to remove the percent symbol (%) and write the number over 100. Then we simplify the fraction to its lowest terms, if necessary.
Converting Decimals to Percents: To convert a decimal to a percent, we need to multiply the decimal by 100 and put the percent symbol (%) next to it.
Converting Percents to Decimals: To convert a percent to a decimal, we need to remove the percent symbol (%) and divide the number by 100.
Comparing Fractions, Decimals, and Percents: When comparing fractions, decimals or percents, we need to convert them to a common form, usually a decimal, and then compare the numbers.
Adding and Subtracting Fractions with Different Denominators: When adding or subtracting fractions with different denominators, we need to find a common denominator and then add or subtract the numerators.
Multiplying and Dividing Fractions: To multiply fractions, we multiply the numerators and denominators separately. To divide fractions, we invert and multiply (i.e., flip the second fraction and then multiply both fractions).
Simplifying Fractions, Decimals, and Percents: We simplify fractions by dividing the numerator and denominator by their common factor. We simplify decimals by rounding them to a certain number of decimal places. We simplify percents by finding equivalent fractions with simpler denominators.