Unit fraction division

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 do you divide a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, 1/2 ÷ 4 = 1/(2*4) = 1/8.

Front

What is the result of dividing a whole number by a unit fraction?

Back

Dividing a whole number by a unit fraction is equivalent to multiplying the whole number by the reciprocal of the unit fraction. For example, 4 ÷ 1/7 = 4 * 7/1 = 28.

Front

If you have 1/3 pound of fruit and share it equally among 3 bowls, how much is in each bowl?

Back

1/3 ÷ 3 = 1/3 * 1/3 = 1/9 pound in each bowl.

Front

What is the result of 1/4 ÷ 6?

Back

1/4 ÷ 6 = 1/(4*6) = 1/24.

Front

What does it mean to divide fractions?

Back

Dividing fractions involves multiplying by the reciprocal of the divisor. For example, a/b ÷ c/d = a/b * d/c.

Front

How can you visualize dividing a fraction by a whole number?

Back

You can visualize it by partitioning the whole into equal parts and then taking the specified number of those parts.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction a/b is b/a, where a and b are non-zero integers.

Front

How do you convert a division of fractions into multiplication?

Back

To convert a division of fractions into multiplication, flip the second fraction (the divisor) and change the division sign to multiplication.

Front

What is the importance of understanding unit fractions in division?

Back

Understanding unit fractions helps in grasping the concept of dividing quantities into smaller parts, which is essential in real-life applications.