Compare decimals and fractions

Learning Objectives Convert fractions to decimals and decimals to fractions. Compare two decimals using place value. Compare two fractions using common denominators or by converting to decimals. Compare a decimal and a fraction by converting one to the other. Use the symbols <, >, and = correctly to show comparisons. Solve real-world problems involving the comparison of decimals and fractions. Have you ever wondered if 1/2 of a pizza is more or less than 0.6 of a pizza? 🍕 Today, we'll learn how to figure that out! In this lesson, you will learn how to compare different types of numbers: decimals and fractions. Understanding how to compare them is a super important skill that helps you make sense of quantities in everyday life, from cooking to measuring. Real-Wo...

TermDefinitionExample DecimalA way to write numbers that are not whole, using a decimal point to separate the whole part from the fractional part (tenths, hundredths, etc.).0.5 (five tenths), 1.25 (one and twenty-five hundredths) FractionA way to represent a part of a whole or a part of a set, written as a numerator over a denominator.1/2 (one half), 3/4 (three quarters) NumeratorThe top number in a fraction, which tells you how many parts of the whole you have.In 3/4, the numerator is 3. DenominatorThe bottom number in a fraction, which tells you how many equal parts the whole is divided into.In 3/4, the denominator is 4. Place Value (Decimals)The value of a digit based on its position in a number, especially important for digits after the decimal point (tenths, hundredths, thousandths)....

Converting a Fraction to a Decimal $\frac{a}{b} = a \div b$ To change a fraction into a decimal, divide the numerator (top number) by the denominator (bottom number). This gives you the decimal equivalent. Converting a Decimal to a Fraction $0.d_1d_2 = \frac{d_1d_2}{100}$ (for hundredths) or $0.d_1 = \frac{d_1}{10}$ (for tenths) To change a decimal into a fraction, write the digits after the decimal point as the numerator. The denominator will be a power of 10 (10 for tenths, 100 for hundredths, 1000 for thousandths) corresponding to the last decimal place. Then simplify the fraction if possible. Comparing Decimals Compare digits from left to right, starting with the largest place value. Line up the decimal points. Start comparing the digits in the largest place valu...