Converting Fractions to Decimals Using Long Division

This video tutorial teaches how to convert fractions into decimals using long division. It begins with an introduction to rational numbers and common mistakes in conversion. The tutorial provides detailed examples of converting fractions like 3/4, 2/5, and 3/8 into decimals, demonstrating each step of the long division process. By the end, viewers will understand how to rewrite fractions as decimals accurately.

What is a common mistake when converting fractions to decimals?

• Adding instead of subtracting

• Ignoring the denominator

• Using multiplication instead of division

• Assuming the numerator is the decimal

What is the first step in converting 3/4 to a decimal using long division?

• Add a decimal point and zero

• Subtract 3 from 4

• Divide 4 by 3

• Multiply 3 by 4

How many times does 4 go into 30 when converting 3/4 to a decimal?

• 8 times

• 5 times

• 6 times

• 7 times

What is the decimal equivalent of 2/5?

• 0.4

• 0.75

• 0.5

• 0.25

What is the final decimal result of converting 3/8?

• 0.4

• 0.3

• 0.25

• 0.375