4.3A Unit Fractions

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. For example, 1/2, 1/3, and 1/4 are unit fractions.

Front

How do you represent a unit fraction visually?

Back

A unit fraction can be represented visually by dividing a whole into equal parts. For example, 1/4 can be shown as one part of a circle divided into four equal sections.

Front

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

Back

The sum of 1/4 and 1/4 is 2/4, which simplifies to 1/2.

Front

If you have 1/3 of a pizza and you eat 1/3 of that, how much pizza do you have left?

Back

You have 1/3 - 1/9 = 2/9 of the pizza left.

Front

What is the relationship between unit fractions and whole numbers?

Back

Unit fractions can be added together to form whole numbers. For example, 1/2 + 1/2 = 1.

Front

How can you find a common denominator for unit fractions?

Back

To find a common denominator for unit fractions, identify the least common multiple (LCM) of the denominators. For example, for 1/3 and 1/4, the LCM is 12.

Front

What is the difference between a unit fraction and a proper fraction?

Back

A unit fraction has a numerator of 1, while a proper fraction has a numerator that is less than the denominator. For example, 1/5 is a unit fraction, and 2/5 is a proper fraction.

Front

Can you give an example of adding two different unit fractions?

Back

Sure! Adding 1/4 and 1/6: First, find a common denominator (12). Then, convert: 1/4 = 3/12 and 1/6 = 2/12. So, 3/12 + 2/12 = 5/12.

Front

What is the product of a unit fraction and a whole number?

Back

The product of a unit fraction and a whole number is a fraction where the numerator is the whole number multiplied by 1. For example, 2 * 1/3 = 2/3.

Front

How do you compare two unit fractions?

Back

To compare two unit fractions, look at their denominators. The unit fraction with the smaller denominator is larger. For example, 1/3 is greater than 1/4.