Convert Fraction to Decimal Using Long Division
Learn how to convert fractions to decimals using long division, including terminating and recurring decimals. Letβs get started! π
Video Lesson
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Flashcards
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ποΈ How Do We Convert Simple Fractions to Decimals?
- Some fractions can be changed into decimals by rewriting them over 10, 100, or 1000.
- Example:
ποΈ Converting Fractions to Decimals Using Long Division
- Divide the numerator by the denominator.
- Stop dividing when the remainder becomes 0.
- For example,
ποΈ What Are Terminating and Recurring Decimals?
- A terminating decimal ends after a fixed number of digits.
- A recurring decimal has digits that repeat forever.
ποΈ How Do We Find Recurring Decimals Using Long Division?
- Stop dividing when you see the same remainder again.
- Example:
Practice Questions
Test your understanding
Convert to a decimal.
Correct! π +10 pointsNot quite right
To convert to a decimal, divide 11 by 20. The result is 0.55.
What is as a decimal?
Correct! π +10 pointsNot quite right
To convert to a decimal, divide 13 by 50. The result is 0.26.
What is as a decimal?
Correct! π +20 pointsNot quite right
To convert to a decimal, divide 7 by 8. The result is 0.875.
Convert to a decimal.
Correct! π +20 pointsNot quite right
To convert to a decimal, divide 131 by 99. The result is a repeating decimal, 1.323232....
What is the decimal equivalent of ?
Correct! π +20 pointsNot quite right
To convert to a decimal, divide 7 by 9. The result is a repeating decimal, 0.777....
Convert to a decimal.
Correct! π +30 pointsNot quite right
To convert to a decimal, divide 87 by 16. The exact result is 5.4375.
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