Convert Fraction to Decimal Using Long Division

Learn how to convert fractions to decimals, including terminating and recurring decimals. Let’s get started! 🚀

Convert Fraction to Decimal Using Long Division - introduction visual

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Converting fractions like 2/5 and 3/4 to decimals using equivalent fractions and prompting 21/16 as a challenge.Convert fractions to decimals  with step-by-step examples 21 ÷ 16 = 1.3125.Comparison of terminating and recurring decimals with examples 0.3 and 0.33333… Conversion of fractions to decimals using long division, highlighting terminating decimals (21/16 = 1.3125) and recurring decimals (41/12 = 3.416…).

🛎️ Fractions to Decimals

  • Some fractions can be changed into decimals by rewriting them over 10, 100, or 1000.
  • Example: 25=410=0.4\dfrac{2}{5} = \dfrac{4}{10} = 0.4

🛎️ Converting Fractions to Decimals Using Long Division

  • Divide the numerator by the denominator.
  • Stop dividing when the remainder becomes 0.
  • For example, 2116=1.3125\dfrac{21}{16} = 1.3125

🛎️ Terminating and Recurring Decimals

  • A terminating decimal ends after a fixed number of digits.
  • A recurring decimal has digits that repeat forever.

🛎️ Recurring Decimals Using Long Division

  • Stop dividing when you see the same remainder again.
  • Example: 4112=3.4166=3.416˙\dfrac{41}{12} = 3.4166\ldots = 3.41\dot{6}

Practice Questions

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Interactive Activity

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