Equivalent Fractions: Understanding Denominators of 10 and 100 Using a Number Line

This video tutorial explains how to compare fractions with different denominators using number lines. It highlights common misconceptions, such as assuming a larger denominator means a larger fraction. The lesson demonstrates how fractions with denominators of 10 and 100 can be equivalent and how to visualize this equivalence on a number line. By breaking down the number line into equal segments, the tutorial shows how to label and compare fractions effectively.

Why might someone mistakenly think that 60/100 is larger than 6/10?

• Because 100 is a larger number than 10.

• Because 60 is a larger number than 6.

• Because fractions with larger numerators are always larger.

• Because fractions with larger denominators are always larger.

Which of the following fractions is equivalent to 1/2?

• 2/4

• 3/12

• 5/8

• 1/3

What does a fraction represent?

• A number that is always less than 1.

• A whole number divided by another whole number.

• A part of a whole divided into equal pieces.

• A number that is always greater than 1.

How can you show that 1/10 is equivalent to 10/100?

• By comparing their numerators.

• By using a number line to show they occupy the same point.

• By multiplying both fractions by 10.

• By adding 1 to both fractions.

Which of the following fractions is equivalent to 4/10?

• 2/5

• All of the above

• 40/100

• 8/20