No, the shaded parts are not necessarily the same amount. Even if you shade 18 rectangles, their different sizes can result in varying total areas of the shaded regions. To determine if the shaded areas are equal, you would need to calculate the area of each rectangle and sum them up.
Draw as many rectangles as the whole number you are multiplying by. Then, draw the fraction you are multiplying by in all of the rectangles. Shade in the top number in the fraction [numerator] in your rectangles. Count all the shaded in parts of all your rectangles. Leave the bottom number of your fraction [denominator] the same and put the number you got when you added the shaded parts of the rectangles on top as your denominator of the fraction. That is your answer!
A picture representing 4 and 2/3 can be illustrated using rectangles or squares by showing four full rectangles (representing the whole numbers) and a fifth rectangle that is divided into three equal parts, with two of those parts shaded to represent the fraction 2/3. This visual clearly indicates the total of four whole units plus two-thirds of an additional unit, effectively conveying the mixed number concept.
To calculate the total shaded area, first identify the shapes that comprise the shaded region and their dimensions. If the shaded area is part of a larger shape, subtract the area of the unshaded parts from the total area. Use appropriate area formulas for each shape involved, such as length times width for rectangles or πr² for circles. Sum the areas of all shaded portions to find the total shaded area.
75% shaded; 25% unshaded
The shaded portion of the diagram represents the fraction ( \frac{4}{9} ), as 4 out of the 9 equal parts are shaded. This indicates that 4 parts are shaded while 5 parts remain unshaded, highlighting the relationship between the shaded and total parts. Thus, the fraction of the shaded area is ( \frac{4}{9} ).
You will need to divide the shaded area into smaller parts, such as triangles or rectangles, or find the length of sides of these polygons.
Draw as many rectangles as the whole number you are multiplying by. Then, draw the fraction you are multiplying by in all of the rectangles. Shade in the top number in the fraction [numerator] in your rectangles. Count all the shaded in parts of all your rectangles. Leave the bottom number of your fraction [denominator] the same and put the number you got when you added the shaded parts of the rectangles on top as your denominator of the fraction. That is your answer!
The shaded parts
A picture representing 4 and 2/3 can be illustrated using rectangles or squares by showing four full rectangles (representing the whole numbers) and a fifth rectangle that is divided into three equal parts, with two of those parts shaded to represent the fraction 2/3. This visual clearly indicates the total of four whole units plus two-thirds of an additional unit, effectively conveying the mixed number concept.
75% shaded; 25% unshaded
The shaded portion of the diagram represents the fraction ( \frac{4}{9} ), as 4 out of the 9 equal parts are shaded. This indicates that 4 parts are shaded while 5 parts remain unshaded, highlighting the relationship between the shaded and total parts. Thus, the fraction of the shaded area is ( \frac{4}{9} ).
To write the number of shaded parts, you count the total number of shaded parts in the figure. To express the fraction of the whole that is shaded, you write the number of shaded parts over the total number of equal parts that make up the whole figure. For example, if there are 3 shaded parts out of a total of 8 equal parts, you would write this as "3/8."
35%
If one fifth of a region is not shaded then 4 fifths of the region is shaded. Fifths means there are five parts.
4 and a half
I suppose that would depend on being able to see the shaded parts of the figures.
In complete sentnces, explain why you can cut the rectangles into different shapes and still have four equal parts.