Converting Fractions to Decimals

This video tutorial explains how to convert fractions into decimals. It begins with an introduction to the concept that a fraction is a division of one number by another. The video provides three examples: converting 7/16 using long division, converting 1/3 into a repeating decimal, and converting 6/100 by recognizing the denominator as a power of ten. Each example is broken down step-by-step to illustrate the process of conversion.

What is the basic concept behind converting a fraction into a decimal?

• Multiplying the numerator by the denominator

• Dividing the numerator by the denominator

• Adding the numerator and the denominator

• Subtracting the denominator from the numerator

When converting 7/16 into a decimal, what is the first step in the long division process?

• Add a zero to 7

• Divide 16 by 7

• Add a decimal point to 7

• Multiply 7 by 16

In the long division of 7/16, what is the result of 16 going into 70?

• 5 times

• 4 times

• 3 times

• 6 times

What is the remainder when 16 goes into 120 during the conversion of 7/16?

• 0

• 4

• 6

• 8

What is a repeating decimal?

• A decimal that ends after a few digits

• A decimal that repeats a sequence of digits indefinitely

• A decimal that changes digits randomly

• A decimal that has no digits after the decimal point

How is the repeating decimal for 1/3 represented?

• 0.333 with a line over the last 3

• 0.333...

• 0.33 with a line over both 3s

• 0.3 with a line over the 3

What is the process for converting a fraction with a denominator that is a power of ten?

• Multiply the numerator by ten

• Move the decimal point in the numerator to the left

• Add zeros to the numerator

• Divide the numerator by ten