I need to solve the problem in this image, which is a fractions worksheet. The task is to "Shade the following shapes with the given fraction." I will go through each shape and its corresponding fraction to determine how many parts need to be shaded.
First, I'll look at the top row:
- The first shape is a square divided into 2 equal parts, with the fraction 1/2. This means I need to shade 1 out of the 2 parts.
- The second shape is a circle divided into 4 equal parts, with the fraction 2/4. This means I need to shade 2 out of the 4 parts.
- The third shape is a rectangle divided into 6 equal parts, with the fraction 4/6. This means I need to shade 4 out of the 6 parts.
Next, I'll examine the second row:
- The first shape is a circle divided into 8 equal parts, with the fraction 6/8. This means I need to shade 6 out of the 8 parts.
- The second shape is a square divided into 4 equal parts, with the fraction 3/4. This means I need to shade 3 out of the 4 parts.
- The third shape is a circle divided into 2 equal parts, with the fraction 1/2. This means I need to shade 1 out of the 2 parts.
Now, I'll look at the third row:
- The first shape is a rectangle divided into 3 equal parts, with the fraction 1/3. This means I need to shade 1 out of the 3 parts.
- The second shape is a circle divided into 3 equal parts, with the fraction 2/3. This means I need to shade 2 out of the 3 parts.
- The third shape is a rectangle divided into 6 equal parts, with the fraction 3/6. This means I need to shade 3 out of the 6 parts.
Finally, I'll examine the bottom row:
- The first shape is a circle divided into 4 equal parts, with the fraction 1/4. This means I need to shade 1 out of the 4 parts.
- The second shape is a square divided into 8 equal parts, with the fraction 4/8. This means I need to shade 4 out of the 8 parts.
- The third shape is a circle divided into 6 equal parts, with the fraction 5/6. This means I need to shade 5 out of the 6 parts.
I have now analyzed all the shapes and their corresponding fractions. I will now provide a summary of how to shade each shape based on the given fractions.
Summary of Shading Instructions:
Top Row:
- Square (2 parts): Shade 1 part for 1/2.
- Circle (4 parts): Shade 2 parts for 2/4.
- Rectangle (6 parts): Shade 4 parts for 4/6.
Second Row:
- Circle (8 parts): Shade 6 parts for 6/8.
- Square (4 parts): Shade 3 parts for 3/4.
- Circle (2 parts): Shade 1 part for 1/2.
Third Row:
- Rectangle (3 parts): Shade 1 part for 1/3.
- Circle (3 parts): Shade 2 parts for 2/3.
- Rectangle (6 parts): Shade 3 parts for 3/6.
Bottom Row:
- Circle (4 parts): Shade 1 part for 1/4.
- Square (8 parts): Shade 4 parts for 4/8.
- Circle (6 parts): Shade 5 parts for 5/6.
This completes the solution to the problem. Each shape should be shaded according to the fraction provided next to it, by shading the numerator number of parts out of the denominator total parts.
Parent Tip: Review the logic above to help your child master the concept of fraction homework 3rd grade.