Understanding Fractions and Decimals

The video tutorial explains how to convert the fraction 6/12 into a decimal. It begins by visualizing the fraction using 12ths and then simplifies it to 1/2 by dividing both the numerator and denominator by 6. The tutorial then demonstrates how to convert 1/2 into 5/10 by multiplying both the numerator and denominator by 5, making it easier to express as a decimal. Finally, it shows how 5/10 is represented as 0.5 in decimal notation, emphasizing the relationship between fractions and decimals.

What is the first step in converting 6/12 into a decimal?

• Multiply both numerator and denominator by 10

• Convert the fraction into a percentage

• Rewrite the fraction in terms of tenths

• Visualize the fraction using a pie chart

How many 12ths make up the fraction 6/12?

• 3

• 6

• 12

• 9

What is the equivalent of 6/12 when simplified?

• 1/2

• 1/4

• 1/3

• 2/3

When simplifying 6/12, what number do you divide both the numerator and denominator by?

• 6

• 3

• 2

• 4

What is 1/2 expressed in terms of tenths?

• 2/10

• 3/10

• 4/10

• 5/10

How do you convert 1/2 into 5/10?

• Multiply both numerator and denominator by 2

• Multiply both numerator and denominator by 5

• Divide both numerator and denominator by 2

• Divide both numerator and denominator by 5

What is the decimal representation of 5/10?

• 0.7

• 0.5

• 0.3

• 0.2

Which place value does the digit 5 occupy in the decimal 0.5?

• Thousandths place

• Hundredths place

• Tenths place

• Ones place

What is another way to understand the conversion of 6/12 to a decimal?

• By considering 6 as half of 12

• By multiplying 6 by 2

• By dividing 12 by 6

• By adding 6 to 12

What is the decimal equivalent of 6/12?

• 0.4

• 0.6

• 0.5

• 0.2