Converting Fractions to Decimals

The video tutorial explains how to compare two fractions, 3/8 and 5/6, and convert them into decimal form using long division. It demonstrates the process of setting up long division, handling remainders, and identifying whether the resulting decimal is terminating or repeating. The tutorial concludes with the decimal values of 3/8 as 0.375 and 5/6 as 0.83333, highlighting the difference between terminating and repeating decimals.

Which fraction is larger?

• Both are equal

• Cannot be determined

• 5/6

• 3/8

What is the first step in setting up long division for a fraction?

• Put both inside

• Put the denominator inside

• Put the numerator inside

• Put both outside

What do you do if the denominator does not go into the numerator?

• Multiply the numerator

• Subtract the numerator

• Stop the division

• Add an invisible zero

How many times does 8 go into 30?

• 5 times

• 2 times

• 4 times

• 3 times

What is the decimal value of 3/8?

• 0.75

• 0.625

• 0.5

• 0.375

What is the first step in setting up long division for 5/6?

• Put both inside

• Put both outside

• Put 5 inside

• Put 6 inside

How many times does 6 go into 50?

• 9 times

• 10 times

• 7 times

• 8 times

What is the remainder when 6 goes into 50?

• 1

• 2

• 3

• 4

What is the repeating decimal for 5/6?

• 0.666...

• 0.777...

• 0.833...

• 0.999...

Which fraction results in a terminating decimal?

• Neither

• 3/8

• 5/6

• Both