Multiplying and Finding Area of Fractions

The video tutorial explains how to find the area of rectangles with fractional lengths and widths. It begins by reviewing the basic concept of multiplying length by width to find the area. The tutorial then focuses on multiplying fractions, detailing the process of multiplying numerators and denominators separately. An example is provided to illustrate the calculation and simplification of fractional areas. The video concludes with a recap of the key points covered.

What is the first step in finding the area of a rectangle with fractional dimensions?

• Divide the length by the width.

• Subtract the width from the length.

• Multiply the length and width.

• Add the fractions together.

When multiplying fractions, what do you do with the numerators?

• Add them together.

• Multiply them and place the result on top.

• Divide them.

• Subtract them.

In the example problem, what is the product of 3/5 and 7/8?

• 40/21

• 15/56

• 24/35

• 21/40

Why can't 21/40 be simplified further?

• Because 21 is a prime number.

• Because 21 and 40 have no common factors.

• Because 21 and 40 are both even numbers.

• Because 40 is a multiple of 21.

What unit is used for the area in the first example problem?

• Square meters

• Square inches

• Square feet

• Square yards

In the second example, what are the dimensions of the rectangle?

• 5/8 yards by 1/3 yard

• 3/5 yards by 7/8 yard

• 7/8 yards by 3/5 yard

• 1/3 yards by 5/8 yard

What is the area of the rectangle in the second example?

• 8/15 square yards

• 5/24 square yards

• 15/8 square yards

• 24/5 square yards

Why is no further simplification needed for the fraction 5/24?

• Because 5 is larger than 24.

• Because 5 and 24 have no common factors.

• Because 24 is a prime number.

• Because 5 is a multiple of 24.

What is the unit for the area in the second example problem?

• Square inches

• Square feet

• Square meters

• Square yards

What is the general process for finding the area of a rectangle with fractional dimensions?

• Multiply the numerators and denominators separately.

• Divide the length by the width.

• Add the fractions and then multiply by two.

• Subtract the smaller fraction from the larger one.