Converting Fractions to Decimals Using Division

This video tutorial explains how to convert fractions to decimals using division. It covers the concept of repeating decimals, clarifies common errors with divisors and dividends, and provides step-by-step examples of converting fractions like 1/6, 3/11, and 7/8 into decimals. The lesson emphasizes understanding the relationship between fractions and division, and how to identify when to stop dividing.

What is a repeating decimal?

• A decimal that ends after a few digits

• A decimal that changes its pattern frequently

• A decimal with a pattern of digits that repeats indefinitely

• A decimal that is always less than 1

In the fraction 1/6, which number is the divisor?

• 1

• 6

• Neither 1 nor 6

• Both 1 and 6

When converting 1/6 to a decimal, what is the repeating digit?

• 3

• 0

• 1

• 6

How do you know when to stop dividing when converting a fraction like 3/11?

• When the division becomes too complex

• When a repeating pattern is identified

• When the decimal reaches 0.5

• When you reach a remainder of 1

What indicates that you should stop dividing when converting 7/8 to a decimal?

• When the dividend is less than the divisor

• When the remainder is 0

• When the decimal reaches 0.875

• When the divisor is a factor of 10