Sum of Unit Fractions Test

Front

What is a unit fraction?

Back

A unit fraction is a fraction where the numerator is 1 and the denominator is a positive integer, such as 1/2, 1/3, or 1/4.

Front

How can you represent a fraction as a sum of unit fractions?

Back

To represent a fraction as a sum of unit fractions, you can decompose the fraction into smaller fractions that each have a numerator of 1.

Front

What does the number line represent in relation to fractions?

Back

The number line represents the value of fractions as points on a continuous line, allowing for visual comparison and addition of fractions.

Front

How do you find the position of a fraction on a number line?

Back

To find the position of a fraction on a number line, divide the segment between 0 and 1 into equal parts based on the denominator and count the number of parts indicated by the numerator.

Front

What is the sum of the unit fractions 1/2 and 1/4?

Back

The sum of 1/2 and 1/4 is 3/4.

Front

How do you convert a fraction like 2/6 into a sum of unit fractions?

Back

2/6 can be expressed as 1/3 + 1/3, which are both unit fractions.

Front

What is the relationship between unit fractions and equivalent fractions?

Back

Unit fractions can be used to create equivalent fractions by multiplying the numerator and denominator by the same integer.

Front

What is the significance of the denominator in a fraction?

Back

The denominator indicates how many equal parts the whole is divided into, while the numerator indicates how many of those parts are being considered.

Front

How can you visualize the addition of fractions on a number line?

Back

You can visualize the addition of fractions on a number line by marking the fractions and then combining their lengths to find the total.

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.