5.3I Multiply Whole Numbers by Fractions

Front

What is the result of multiplying a whole number by a fraction?

Back

When you multiply a whole number by a fraction, you find a part of the whole number. For example, 3 x 1/2 means you have half of 3, which is 1.5.

Front

How do you find a fraction of a whole number?

Back

To find a fraction of a whole number, multiply the whole number by the fraction. For example, to find 2/3 of 6, calculate 2/3 x 6 = 4.

Front

What does '3 groups of 3/4' mean in multiplication?

Back

It means you are adding 3/4 three times or multiplying 3 by 3/4, which equals 9/4 or 2 1/4.

Front

What is 3/10 times 7?

Back

3/10 x 7 = 21/10 or 2 1/10.

Front

What is 16 times 3/5?

Back

16 x 3/5 = 48/5 or 9 3/5.

Front

What is the first step in multiplying a whole number by a fraction?

Back

The first step is to convert the whole number into a fraction by placing it over 1. For example, 5 becomes 5/1.

Front

How do you simplify the multiplication of fractions?

Back

Multiply the numerators together and the denominators together. For example, (2/3) x (4/5) = (2*4)/(3*5) = 8/15.

Front

What is the meaning of 'of' in a multiplication problem involving fractions?

Back

The word 'of' indicates multiplication. For example, '2/3 of 9' means 2/3 x 9.

Front

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

Back

You can visualize it by dividing the whole number into equal parts and taking the number of parts indicated by the fraction.

Front

What is the relationship between multiplication and addition in the context of fractions?

Back

Multiplication can be seen as repeated addition. For example, 3 x 1/4 means adding 1/4 three times.