Convert decimals to fractions

Learning Objectives Identify the place value of digits in a decimal number up to the thousandths place. Write a decimal number as a fraction with a denominator of 10, 100, or 1000. Simplify fractions to their simplest form by finding common factors. Convert decimals less than one to proper fractions. Convert decimals greater than one to mixed numbers. Explain the relationship between decimal place value and the denominator of its equivalent fraction. Ever wonder how 0.5 of a cookie is the exact same as 1/2 of a cookie? 🍪 Let's uncover the secret connection between these two ways of showing parts of a whole! In this lesson, you'll learn how to transform decimal numbers into fractions. Understanding this conversion helps you see numbers in different ways and makes...

TermDefinitionExample DecimalA number that uses a decimal point to show parts of a whole, based on powers of ten.0.75 (seventy-five hundredths) FractionA number that represents a part of a whole or a collection, written as a numerator over a denominator.3/4 (three-fourths) Place Value (Decimal)The value of a digit based on its position in a decimal number (e.g., tenths, hundredths, thousandths).In 0.35, the '3' is in the tenths place, and the '5' is in the hundredths place. NumeratorThe top number in a fraction, which tells how many parts of the whole are being considered.In 2/5, '2' is the numerator. DenominatorThe bottom number in a fraction, which tells the total number of equal parts the whole is divided into.In 2/5, '5' is the denominator. Simp...

Decimal to Fraction (Tenths) $0.d = \frac{d}{10}$ If a decimal has one digit after the decimal point (tenths place), write the digit as the numerator and 10 as the denominator. Use this rule for decimals like 0.3 or 0.7. Decimal to Fraction (Hundredths) $0.de = \frac{de}{100}$ If a decimal has two digits after the decimal point (hundredths place), write the digits as the numerator and 100 as the denominator. Use this rule for decimals like 0.25 or 0.80. Decimal to Fraction (Thousandths) $0.def = \frac{def}{1000}$ If a decimal has three digits after the decimal point (thousandths place), write the digits as the numerator and 1000 as the denominator. Use this rule for decimals like 0.125 or 0.007. Simplifying Fractions $\frac{a}{b} = \frac{a \div GCF}{b \div GCF}...