Multiplying Fractions and Whole Numbers

Estimate:

Estimate:

Estimate:

Estimate:

Review: Find 5/7 of 14.Draw a bar diagram.

Divide it into 7 equal sections because the denominator is 7.

Determine the number in each section.

Find 5/7 of 14.

14

2 2 2 2 2 2 2

Review:

Remember…When you multiply whole numbers, their

product is greater:

BUT, when you multiply a whole number by a fraction, the product is smaller:

Review:

Review:

The rule for multiplying fractions and whole numbers:

Divide the whole number by the denominator and then multiply by the numerator.

Use models:

Multiplication = Repeated Addition

Multiplication = Repeated Addition

Use models:Draw two wholes.

Divide them into thirds.

Shade a rectangle that is 1/3 unit wide and 2 units long.

Rearrange the shaded parts to fill part of one unit. Two thirds is shaded.

The rule for multiplying fractions and whole numbers:

Divide the whole number by the denominator and then multiply by the numerator.

Multiply the numerators and then multiply by the denominators.

Multiply the numerators and then multiply by the denominators.