I need to solve this worksheet on improper fractions by shading the correct number of parts in each shape model. I'll go through each problem one by one, converting the improper fraction to a mixed number or determining how many whole shapes and additional parts need to be shaded.
Let me start with the first row after the example:
First problem: 18/5 with pentagons
- Each pentagon is divided into 5 equal parts.
- 18/5 means I need to shade 18 parts total.
- Since each pentagon has 5 parts, I need 3 full pentagons (3 × 5 = 15 parts) plus 3 more parts from the fourth pentagon.
- So I should shade 3 complete pentagons and 3 out of 5 parts in the fourth pentagon.
Second problem: 11/3 with triangles
- Each triangle is divided into 3 equal parts.
- 11/3 means I need to shade 11 parts total.
- Since each triangle has 3 parts, I need 3 full triangles (3 × 3 = 9 parts) plus 2 more parts from the fourth triangle.
- So I should shade 3 complete triangles and 2 out of 3 parts in the fourth triangle.
Third problem: 15/8 with squares
- Each square is divided into 8 equal parts.
- 15/8 means I need to shade 15 parts total.
- Since each square has 8 parts, I need 1 full square (8 parts) plus 7 more parts from the second square.
- So I should shade 1 complete square and 7 out of 8 parts in the second square.
Fourth problem: 13/6 with hexagons
- Each hexagon is divided into 6 equal parts.
- 13/6 means I need to shade 13 parts total.
- Since each hexagon has 6 parts, I need 2 full hexagons (2 × 6 = 12 parts) plus 1 more part from the third hexagon.
- So I should shade 2 complete hexagons and 1 out of 6 parts in the third hexagon.
Fifth problem: 19/4 with diamonds (squares rotated 45 degrees)
- Each diamond is divided into 4 equal parts.
- 19/4 means I need to shade 19 parts total.
- Since each diamond has 4 parts, I need 4 full diamonds (4 × 4 = 16 parts) plus 3 more parts from the fifth diamond.
- So I should shade 4 complete diamonds and 3 out of 4 parts in the fifth diamond.
Sixth problem: 7/2 with circles
- Each circle is divided into 2 equal parts.
- 7/2 means I need to shade 7 parts total.
- Since each circle has 2 parts, I need 3 full circles (3 × 2 = 6 parts) plus 1 more part from the fourth circle.
- So I should shade 3 complete circles and 1 out of 2 parts in the fourth circle.
This completes the solution for all the problems on the worksheet.
Parent Tip: Review the logic above to help your child master the concept of mixed fraction worksheets.
