Practice shading fraction models to represent improper fractions in this educational worksheet.

To solve this worksheet, we need to shade the correct number of parts for each improper fraction.

How to do it:
1. Look at the denominator (the bottom number). This tells you how many equal parts are inside one shape.
2. Look at the numerator (the top number). This is the total number of parts you need to shade across all the shapes.
3. Start shading from the first shape. If you fill it up completely, move to the next shape and keep counting until you have shaded the total number of parts shown in the numerator.

Here is the step-by-step solution for each problem:

1. Fraction: $\frac{7}{3}$
* Denominator is 3: Each circle is divided into 3 parts.
* Numerator is 7: We need to shade 7 parts total.
* Shading:
* Shade all 3 parts of the first circle. (Count so far: 3)
* Shade all 3 parts of the second circle. (Count so far: 6)
* We need 1 more part to reach 7. Shade 1 part of the third circle.
* Result: Two full circles and one-third of the third circle.

2. Fraction: $\frac{18}{5}$
* Denominator is 5: Each pentagon is divided into 5 parts.
* Numerator is 18: We need to shade 18 parts total.
* Shading:
* $5 \times 3 = 15$. So, shade the first 3 pentagons completely. (Count so far: 15)
* We need 3 more parts to reach 18 ($18 - 15 = 3$).
* Shade 3 parts of the fourth pentagon.
* Result: Three full pentagons and three-fifths of the fourth pentagon.

3. Fraction: $\frac{11}{3}$
* Denominator is 3: Each triangle is divided into 3 parts.
* Numerator is 11: We need to shade 11 parts total.
* Shading:
* $3 \times 3 = 9$. Shade the first 3 triangles completely. (Count so far: 9)
* We need 2 more parts to reach 11 ($11 - 9 = 2$).
* Shade 2 parts of the fourth triangle.
* Result: Three full triangles and two-thirds of the fourth triangle.

4. Fraction: $\frac{15}{8}$
* Denominator is 8: Each square is divided into 8 parts.
* Numerator is 15: We need to shade 15 parts total.
* Shading:
* Shade all 8 parts of the first square. (Count so far: 8)
* We need 7 more parts to reach 15 ($15 - 8 = 7$).
* Shade 7 parts of the second square.
* Result: One full square and seven-eighths of the second square.

5. Fraction: $\frac{13}{6}$
* Denominator is 6: Each hexagon is divided into 6 parts.
* Numerator is 13: We need to shade 13 parts total.
* Shading:
* Shade all 6 parts of the first hexagon. (Count so far: 6)
* Shade all 6 parts of the second hexagon. (Count so far: 12)
* We need 1 more part to reach 13 ($13 - 12 = 1$).
* Shade 1 part of the third hexagon.
* Result: Two full hexagons and one-sixth of the third hexagon.

6. Fraction: $\frac{19}{4}$
* Denominator is 4: Each diamond is divided into 4 parts.
* Numerator is 19: We need to shade 19 parts total.
* Shading:
* $4 \times 4 = 16$. Shade the first 4 diamonds completely. (Count so far: 16)
* We need 3 more parts to reach 19 ($19 - 16 = 3$).
* Shade 3 parts of the fifth diamond.
* Result: Four full diamonds and three-fourths of the fifth diamond.

7. Fraction: $\frac{7}{2}$
* Denominator is 2: Each circle is divided into 2 parts (halves).
* Numerator is 7: We need to shade 7 parts total.
* Shading:
* $2 \times 3 = 6$. Shade the first 3 circles completely. (Count so far: 6)
* We need 1 more part to reach 7 ($7 - 6 = 1$).
* Shade 1 part (half) of the fourth circle.
* Result: Three full circles and one-half of the fourth circle.

Final Answer:
Shading Instructions Summary:
* $\frac{7}{3}$: Shade 2 full circles and 1 section of the 3rd circle.
* $\frac{18}{5}$: Shade 3 full pentagons and 3 sections of the 4th pentagon.
* $\frac{11}{3}$: Shade 3 full triangles and 2 sections of the 4th triangle.
* $\frac{15}{8}$: Shade 1 full square and 7 sections of the 2nd square.
* $\frac{13}{6}$: Shade 2 full hexagons and 1 section of the 3rd hexagon.
* $\frac{19}{4}$: Shade 4 full diamonds and 3 sections of the 5th diamond.
* $\frac{7}{2}$: Shade 3 full circles and 1 half of the 4th circle.