Decimals and Fractions

Learn how decimals work, and how to convert between fractions and decimals. Let’s get started! 🚀

Decimals and Fractions - introduction visual

Video Lesson

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Flashcards

Review key concepts visually

Place value chart introducing decimals, sort digits from hundreds to thousandths, with the number 12.345 split into whole number and fractional parts.Showing decimal to fraction, 0.1 as 1/10, 0.01 as 1/100, 0.001 as 1/1000, 0.4 as 4/10 or 2/5, 0.75 as 75/100 or 3/4, and 0.028 as 28/1000 or 7/250.Decimals greater than 1 to fractions, showing conversion of 8.25 to 825/100, 165/20, and 33/4, and breaking 8.25 into 8 and 0.25 as 8 + 1/4.

🛎️ The Decimal Place Value

  • The decimal point separates the whole number and the fractional part.
  • Each place to the right of the decimal point is 10 times smaller: tenths, hundredths, thousandths.

🛎️ Converting Decimals (Less Than 1) to Fractions

  • Write the decimal as a fraction over 10, 100, or 1000.
  • Simplify the fraction if possible. For example, 0.75=75100=340.75 = \dfrac{75}{100} = \dfrac{3}{4}.

🛎️ Converting Decimals (Greater Than 1) to Fractions

  • Split the number into a whole number and a decimal part.
  • Convert the decimal part to a fraction, then combine with the whole number.
  • For example, 8.25=8+0.25=8+14=8148.25 = 8 + 0.25 = 8 + \frac{1}{4} = 8\frac{1}{4}

Practice Questions

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Interactive Activity

Practice converting decimals to fractions

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