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5th Grade Math

Decimals and Fractions

Learn Decimals and Fractions in 5th Grade Math from the production AIPH study guide.

Study guide topics

Multi-Digit OperationsMeasurement and ConversionsUnderstanding Data and GraphsOrder of Operations and ExpressionsDecimals and FractionsVolume and GeometryMath in Cooking and BakingMoney and BudgetingPlanning Events Using DataShowing Your WorkChecking for Reasonableness

Advanced Topics

In a nutshell: Learn to handle numbers that aren't whole.

## Working with Decimals and Fractions Decimals and fractions are ways to show parts of a whole. Decimals use a dot, and fractions use a bar. ### Comparing Decimals and Fractions To compare them, you can turn a fraction into a decimal by dividing the top by the bottom. - \( \frac{1}{2} = 0.5 \) - \( \frac{3}{4} = 0.75 \) ### Adding and Subtracting - Line up decimals by the dot and add or subtract as usual. - For fractions, make sure they have the same bottom number (denominator) before adding or subtracting. ### Real-World Use You see decimals and fractions when dealing with money, measurements, and sports scores!

Examples

  • Add 2.35 + 1.6 by lining up the decimal points.
  • Subtract \( \frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2} \).
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