QUESTION IMAGE
Question
improper fractions and mixed numbers. write the improper fraction and mixed number for each model shown.
Step1: Analyze Model A
Each circle is divided into 8 parts. There are 3 full - circles and 5 parts of the fourth circle. The improper fraction is $\frac{3\times8 + 5}{8}=\frac{24 + 5}{8}=\frac{29}{8}$. The mixed number is $3\frac{5}{8}$.
Step2: Analyze Model B
Each octagon is divided into 8 parts. There are 5 full - octagons and 3 parts of the sixth octagon. The improper fraction is $\frac{5\times8+3}{8}=\frac{40 + 3}{8}=\frac{43}{8}$. The mixed number is $5\frac{3}{8}$.
Step3: Analyze Model C
Each pentagon is divided into 5 parts. There are 2 full - pentagons and 3 parts of the third pentagon. The improper fraction is $\frac{2\times5+3}{5}=\frac{10 + 3}{5}=\frac{13}{5}$. The mixed number is $2\frac{3}{5}$.
Step4: Analyze Model D
Each square is divided into 4 parts. There are 4 full - squares and 3 parts of the fifth square. The improper fraction is $\frac{4\times4+3}{4}=\frac{16+3}{4}=\frac{19}{4}$. The mixed number is $4\frac{3}{4}$.
| Model | Improper Fraction | Mixed Number |
|---|---|---|
| B | $\frac{43}{8}$ | $5\frac{3}{8}$ |
| C | $\frac{13}{5}$ | $2\frac{3}{5}$ |
| D | $\frac{19}{4}$ | $4\frac{3}{4}$ |
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Step1: Analyze Model A
Each circle is divided into 8 parts. There are 3 full - circles and 5 parts of the fourth circle. The improper fraction is $\frac{3\times8 + 5}{8}=\frac{24 + 5}{8}=\frac{29}{8}$. The mixed number is $3\frac{5}{8}$.
Step2: Analyze Model B
Each octagon is divided into 8 parts. There are 5 full - octagons and 3 parts of the sixth octagon. The improper fraction is $\frac{5\times8+3}{8}=\frac{40 + 3}{8}=\frac{43}{8}$. The mixed number is $5\frac{3}{8}$.
Step3: Analyze Model C
Each pentagon is divided into 5 parts. There are 2 full - pentagons and 3 parts of the third pentagon. The improper fraction is $\frac{2\times5+3}{5}=\frac{10 + 3}{5}=\frac{13}{5}$. The mixed number is $2\frac{3}{5}$.
Step4: Analyze Model D
Each square is divided into 4 parts. There are 4 full - squares and 3 parts of the fifth square. The improper fraction is $\frac{4\times4+3}{4}=\frac{16+3}{4}=\frac{19}{4}$. The mixed number is $4\frac{3}{4}$.
| Model | Improper Fraction | Mixed Number |
|---|---|---|
| B | $\frac{43}{8}$ | $5\frac{3}{8}$ |
| C | $\frac{13}{5}$ | $2\frac{3}{5}$ |
| D | $\frac{19}{4}$ | $4\frac{3}{4}$ |