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

Front

What is the relationship between unit fractions and whole numbers?

Back

Unit fractions are parts of a whole. When you add unit fractions together, you can create whole numbers. For example, 1/2 + 1/2 = 1.

Front

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

Back

Sure! Adding 1/4 and 1/2: 1/4 + 1/2 = 1/4 + 2/4 = 3/4.

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

How do you find a common denominator for unit fractions?

Back

To find a common denominator, 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 unit fraction for the number 5?

Back

The unit fraction for the number 5 is 1/5.

Front

How can you decompose a unit fraction?

Back

You can decompose a unit fraction into the sum of two or more unit fractions. For example, 1/3 can be decomposed into 1/6 + 1/6.