How to Convert Fractions to Recurring Decimals (Proportions Part 3/6) #15

The video tutorial explains how to convert fractions into recurring decimals. It starts with basic fraction-to-decimal conversion and introduces a special technique for fractions that result in recurring decimals. The key is to adjust the denominator to a number consisting only of 9s, ensuring the numerator and denominator have the same number of digits. The tutorial provides examples to illustrate the process, emphasizing the importance of equal digits in the numerator and denominator for accurate conversion.

What is the first step in converting a fraction like 4/5 into a decimal?

• Multiply the numerator by 10

• Divide the numerator by the denominator

• Add the numerator and denominator

• Subtract the denominator from the numerator

When converting a fraction like 6/33 into a recurring decimal, what should the denominator be transformed into?

• A number with only 8s

• A number with only 9s

• A number with only 0s

• A number with only 1s

Why is it important for the numerator and denominator to have the same number of digits when converting to a recurring decimal?

• To make the calculation easier

• To ensure the fraction remains equivalent

• To ensure the recurring pattern is correct

• To avoid rounding errors

In the example of converting 7/99 to a recurring decimal, what adjustment is made to the numerator?

• A zero is added in front

• It is multiplied by 2

• It is divided by 2

• A zero is added at the end

When converting 32/666 to a recurring decimal, what is the first step?

• Subtract 1 from the denominator

• Add 1 to the numerator

• Convert the denominator to 999

• Multiply the numerator by 2