Convert Fraction to Decimal Using Long Division

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🎬 Math Angel Video: Convert Fraction to Decimal Using Long Division

How to Convert Fraction to Decimal

Converting fractions like 2/5 and 3/4 to decimals using equivalent fractions and prompting 21/16 as a challenge.

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Rewrite the fraction (e.g., 21/16) as a division problem (e.g., 21 ÷ 16) and perform long division.

What are Terminating Decimals vs. Recurring Decimals

Comparison of terminating and recurring decimals with examples 0.3 and 0.33333…

⏩️ (1:18)

A terminating decimal has a finite number of digits, while a recurring decimal has digits that repeat indefinitely.

How to Identify Recurring Decimals

Conversion of fractions to decimals using long division, highlighting terminating decimals (21/16 = 1.3125) and recurring decimals (41/12 = 3.416…).

⏩️ (1:47)

During long division, if remainders start repeating, the decimal is recurring.

🍪 Quiz Time - Practice Now!

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Fractions to Decimals Using Long Division

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Q: Convert 11/20 to a decimal.

2 / 6

Q: What is 13/50 as a decimal?

3 / 6

Q: What is 7/8 as a decimal?

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Q: Convert 131/99 to a decimal.

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Q: What is the decimal equivalent of 7/9?

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Q: Convert 87/16 to a decimal.

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