Converting Fractions to Decimals: Key Concepts and Techniques

In this video, Mr. J explains how to convert fractions to decimals by dividing the numerator by the denominator. He demonstrates this process with several examples, including 2/5, 9/25, 3/16, 1/3, 17/11, and 17/20. The video covers both manual long division and using a calculator, as well as rounding and identifying repeating decimals. Mr. J emphasizes understanding the process and interpreting the results, whether they require rounding or indicate a repeating pattern.

What is the first step in converting a fraction to a decimal?

• Subtract the denominator from the numerator

• Divide the numerator by the denominator

• Add a decimal to the numerator

• Multiply the numerator by the denominator

What decimal is equivalent to 2/5?

• 0.25

• 0.4

• 0.5

• 0.2

How do you handle a fraction like 9/25 when converting to a decimal?

• Multiply both numbers by 10

• Ignore the denominator

• Round to the nearest whole number

• Extend the division problem with a decimal and zeros

When converting a fraction to a decimal, what does it mean if you get a clean cut zero?

• The decimal cannot be rounded

• The decimal is repeating

• The division is complete without remainder

• The fraction is improper

What does a repeating decimal indicate?

• The division ends with a zero

• The fraction cannot be converted

• The decimal is rounded to the nearest tenth

• The decimal goes on forever without terminating

How is a repeating decimal typically represented?

• With a zero at the end

• With a bar over the repeating digits

• By stopping after three decimal places

• By rounding to the nearest hundredth

What is the result of converting 1/3 to a decimal rounded to the thousandths?

• 0.3334

• 0.334

• 0.3

• 0.333

What should you do if a decimal goes on forever without terminating?

• Use a bar to indicate repeating digits

• Round it to the nearest whole number

• Ignore the decimal part

• Stop at the hundredth place

What is the decimal equivalent of 17/11 rounded to the thousandths?

• 1.545

• 1.546

• 1.55

• 1.54

What is the importance of rounding in converting fractions to decimals?

• It changes the value of the fraction

• It simplifies complex fractions

• It is necessary for all fractions

• It helps in approximating the value for practical use