Multiplying Unit Fractions by Whole Numbers

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 multiply a unit fraction by a whole number?

Back

To multiply a unit fraction by a whole number, multiply the numerator of the fraction by the whole number while keeping the denominator the same. For example, 1/3 × 4 = 4/3.

Front

What is the result of multiplying 1/4 by 4?

Back

The result is 1, because 1/4 × 4 = 4/4 = 1.

Front

If a person spends 1/3 of their time on homework and they spend 3 hours total, how much time do they spend on homework?

Back

They spend 1 hour on homework, calculated as 3 hours × 1/3 = 1 hour.

Front

What is the relationship between unit fractions and whole numbers in multiplication?

Back

When multiplying a unit fraction by a whole number, the result is a fraction that represents a part of the whole number.

Front

How can you represent the multiplication of a unit fraction on a number line?

Back

You can represent the multiplication of a unit fraction on a number line by marking equal segments that correspond to the fraction multiplied by the whole number.

Front

If Vince's Fruit Stand sold 1/5 of a box of melons, how much did Janice's Fruit Stand sell if she sold 2 times as many?

Back

Janice's Fruit Stand sold 2/5 of a box of melons, calculated as 2 × (1/5) = 2/5.

Front

What is the formula for multiplying a fraction by a whole number?

Back

The formula is: (numerator × whole number) / denominator.

Front

What does it mean to multiply a fraction by a whole number in a real-world context?

Back

It means to find a part of a whole based on the fraction, often used in scenarios like dividing items or time.

Front

How do you simplify the result of multiplying a fraction by a whole number?

Back

You simplify the result by dividing the numerator and denominator by their greatest common divisor (GCD).