Converting Fractions to Decimals: A Comprehensive Guide

This video tutorial explains how to convert fractions into decimals by rewriting the fraction so that the denominator becomes a power of 10. It provides examples to illustrate the process, showing how to adjust the numerator and denominator to achieve an equivalent fraction with a denominator of 10, 100, or 1000. The tutorial emphasizes moving the decimal point to the left based on the power of 10 in the denominator to find the decimal form.

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

• Subtract the numerator from the denominator

• Multiply the numerator by 10

• Rewrite the fraction so that the denominator is a power of 10

• Divide the numerator by the denominator

Which of the following is a power of 10?

• 25

• 15

• 5

• 100

To convert 3/5 to a decimal, what do you multiply the denominator by?

• 2

• 10

• 5

• 3

What is the decimal form of 3/5?

• 0.75

• 0.6

• 0.5

• 0.3

To convert 7/25 to a decimal, what do you multiply the denominator by?

• 10

• 4

• 2

• 5

What is the decimal form of 7/25?

• 0.28

• 0.25

• 0.07

• 0.75

To convert 3/40 to a decimal, what do you multiply the denominator by?

• 50

• 10

• 20

• 25

What is the decimal form of 3/40?

• 0.4

• 0.3

• 0.25

• 0.075

How many places do you move the decimal point when dividing by 1000?

• 3

• 4

• 2

• 1

What is the general method to convert any fraction to its decimal form?

• Multiply the numerator by 10

• Rewrite the fraction so that the denominator is a power of 10 and then move the decimal point

• Divide the numerator by the denominator directly

• Subtract the numerator from the denominator