Comparing Fractions with Common Numerators

This lesson covers the basics of comparing fractions, focusing on understanding numerators and denominators. It explains how fractions with different numerators and denominators can represent different or equivalent values. The lesson demonstrates comparing fractions using common numerators and finding common multiples to create equivalent fractions for comparison. Key points include understanding the size of pieces in fractions and using comparison symbols effectively.

What does it mean if two fractions are equivalent?

• They have the same numerator.

• They have the same denominator.

• They cannot be simplified further.

• They represent the same value.

What should you be careful about when comparing fractions?

• The color of the fractions.

• The size of the whole.

• The number of fractions.

• The type of fractions.

Why is 1/3 greater than 1/5?

• Because it represents a larger quantity.

• Because its pieces are larger.

• Because it has a smaller denominator.

• Because it has a larger numerator.

What does a larger denominator indicate about the fraction's pieces?

• The pieces are smaller.

• The fraction is equivalent to 1.

• The pieces are larger.

• The fraction cannot be simplified.

If two fractions have the same numerator but different denominators, how do you determine which is larger?

• The fractions are equivalent.

• The fraction with the larger numerator is larger.

• The fraction with the larger denominator is larger.

• The fraction with the smaller denominator is larger.

What is the significance of the size of the pieces when comparing fractions?

• It has no significance.

• It shows how many pieces can fit into a whole.

• It indicates the fraction's complexity.

• It determines the fraction's value.

How do you find a common numerator to compare fractions?

• By dividing the fractions.

• By subtracting the denominators.

• By finding a common multiple.

• By adding the numerators.

How do you create an equivalent fraction with a common numerator?

• Subtract the same number from both the numerator and denominator.

• Multiply both the numerator and denominator by the same number.

• Add the same number to both the numerator and denominator.

• Divide both the numerator and denominator by the same number.

Which fraction is larger, 3/15 or 3/7?

• They are equivalent.

• 3/7

• 3/15

• Cannot be determined.

What does a common multiple allow you to do when comparing fractions?

• Simplify both fractions.

• Create equivalent fractions with a common numerator.

• Determine the larger fraction without comparison.

• Eliminate the denominator.