Sums of 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, such as 1/2, 1/3, or 1/4.

Front

What does it mean to sum unit fractions?

Back

Summing unit fractions means adding fractions that have a numerator of 1, such as 1/4 + 1/4.

Front

What is the sum of 1/4 + 1/4 + 1/4 + 1/4?

Back

The sum is 1, because 1/4 + 1/4 + 1/4 + 1/4 = 4/4 = 1.

Front

How can you express 1 as a sum of unit fractions?

Back

1 can be expressed as 1/2 + 1/2 or 1/3 + 1/3 + 1/3.

Front

What is the equivalent of 2/4 in terms of unit fractions?

Back

2/4 is equivalent to 1/4 + 1/4.

Front

What is the sum of 1/6 + 1/6 + 1/6?

Back

The sum is 1/2, because 1/6 + 1/6 + 1/6 = 3/6 = 1/2.

Front

Which unit fractions add up to 1?

Back

1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 1.

Front

What is the sum of 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8?

Back

The sum is 6/8, because 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 6/8.

Front

How can you express 3/4 using unit fractions?

Back

3/4 can be expressed as 1/4 + 1/4 + 1/4.

Front

What is the equivalent of 6/8 in terms of unit fractions?

Back

6/8 can be expressed as 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8.