Converting Fractions to Decimals

In this video, Mr. J explains how to convert the fraction 5/6 into a decimal. The process involves dividing the numerator by the denominator, resulting in a repeating decimal. Mr. J demonstrates the division step-by-step, showing how to handle repeating decimals by placing a bar over the repeating digit. He also discusses rounding the repeating decimal to the tenths and hundredths places, providing different ways to express the result. The video concludes with a summary of the conversion process.

What is the first step in converting a fraction like 5/6 into a decimal?

• Multiply the numerator by the denominator.

• Divide the numerator by the denominator.

• Add the numerator and the denominator.

• Subtract the denominator from the numerator.

When dividing 5 by 6, what do you do when you can't divide the numerator by the denominator?

• Add a zero to the numerator.

• Use a decimal and a zero.

• Multiply the numerator by 10.

• Subtract the denominator from the numerator.

What is the result of dividing 50 by 6 in the conversion process?

• 7

• 8

• 9

• 6

What pattern emerges when you continue dividing 20 by 6?

• A fraction.

• A whole number.

• A repeating decimal.

• A terminating decimal.

How is a repeating decimal like 0.833... represented?

• By writing it as a fraction.

• With a dot over the repeating digit.

• By rounding it to the nearest whole number.

• With a bar over the repeating digit.

What is one way to write a repeating decimal if you don't want to use a bar notation?

• Ignore the repeating part.

• Write it as a whole number.

• Round it to a specific decimal place.

• Convert it to a fraction.

If you round 0.833... to the tenths place, what is the result?

• 0.8

• 0.9

• 0.84

• 0.83

What is the approximate value of 5/6 when rounded to the hundredths place?

• 0.83

• 0.85

• 0.80

• 0.88

What is the purpose of using the approximately symbol when rounding decimals?

• To indicate the number is exact.

• To show the number is an estimate.

• To convert the number to a fraction.

• To make the number a whole number.

What is the final step in the process of converting a fraction to a decimal?

• Add the numerator and denominator.

• Summarize the conversion process.

• Write the result as a fraction.

• Multiply the result by 10.