Fractions to Decimals Using Long Division

🎬 Video Tutorial

(0:01) Converting Fractions to Decimals: Rewrite the fraction (e.g., 21/16) as a division problem (e.g., 21 ÷ 16) and perform long division.
(1:18) Terminating vs. Recurring Decimals: A terminating decimal has a finite number of digits, while a recurring decimal has digits that repeat indefinitely.
(1:47) Identifying Recurring Decimals: During long division, if remainders start repeating, the decimal is recurring.

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Comparison of terminating and recurring decimals with examples 0.3 and 0.33333… — 1) Terminating and Recurring Decimals

🍪 Quiz

Fractions to Decimals Using Long Division

1 / 6

Q: Convert 11/20 to a decimal.

0.525

0.625

0.6

0.55

2 / 6

Q: What is 13/50 as a decimal?

0.28

0.25

0.2

0.26

3 / 6

Q: What is 7/8 as a decimal?

0.8

0.875

0.85

0.785

4 / 6

Q: Convert 131/99 to a decimal.

1.323232...

1.3230

1.32

1.3233

5 / 6

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

0.7

0.77

0.77...

0.777

6 / 6

Q: To convert 87/16 to a decimal, divide 87 by 16. The exact result is 5.4375.

5.444

5.4375

5.43

5.45

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Numbers and Decimals

Fractions to Decimals Using Long Division

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