A. $$ 1 \frac{3}{4} imes 2 \frac{2}{3}= $$ N. $$ 4 \frac{2}{4} imes 2 \frac{1}{8}= $$ V. $$ 2 \frac{4}{5} imes 1 \frac{1}{2}= $$ H. $$ 8 \frac{1}{3} imes 4 \frac{1}{3}= $$

Question

A. $$ 1 \frac{3}{4} 	imes 2 \frac{2}{3}= $$ N. $$ 4 \frac{2}{4} 	imes 2 \frac{1}{8}= $$ V. $$ 2 \frac{4}{5} 	imes 1 \frac{1}{2}= $$ H. $$ 8 \frac{1}{3} 	imes 4 \frac{1}{3}= $$

UpStudy AI · Accepted Answer

**A. $$ 1 \frac{3}{4} \times 2 \frac{2}{3} $$**

1. Convert the mixed numbers to improper fractions:
   - $$ 1 \frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{7}{4} $$
   - $$ 2 \frac{2}{3} = \frac{2 \times 3 + 2}{3} = \frac{8}{3} $$
2. Multiply the improper fractions:
   $$
   \frac{7}{4} \times \frac{8}{3} = \frac{7 \times 8}{4 \times 3} = \frac{56}{12}
   $$
3. Simplify the fraction by dividing the numerator and denominator by 4:
   $$
   \frac{56 \div 4}{12 \div 4} = \frac{14}{3}
   $$
4. Convert the improper fraction to a mixed number:
   $$
   \frac{14}{3} = 4 \frac{2}{3} \quad (\text{since } 14 \div 3 = 4 \text{ with a remainder of } 2)
   $$

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**N. $$ 4 \frac{2}{4} \times 2 \frac{1}{8} $$**

1. Simplify and convert the mixed numbers:
   - $$ 4 \frac{2}{4} $$: First, simplify $$\frac{2}{4} = \frac{1}{2}$$. Then:
     $$
     4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{9}{2}
     $$
   - $$ 2 \frac{1}{8} = \frac{2 \times 8 + 1}{8} = \frac{17}{8} $$
2. Multiply the improper fractions:
   $$
   \frac{9}{2} \times \frac{17}{8} = \frac{9 \times 17}{2 \times 8} = \frac{153}{16}
   $$
3. Convert the improper fraction to a mixed number:
   - Divide $$153$$ by $$16$$:
     $$
     153 \div 16 = 9 \text{ remainder } 9 \quad (\text{since } 9 \times 16 = 144 \text{ and } 153 - 144 = 9)
     $$
   - Therefore:
     $$
     \frac{153}{16} = 9 \frac{9}{16}
     $$

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**V. $$ 2 \frac{4}{5} \times 1 \frac{1}{2} $$**

1. Convert the mixed numbers to improper fractions:
   - $$ 2 \frac{4}{5} = \frac{2 \times 5 + 4}{5} = \frac{14}{5} $$
   - $$ 1 \frac{1}{2} = \frac{1 \times 2 + 1}{2} = \frac{3}{2} $$
2. Multiply the fractions:
   $$
   \frac{14}{5} \times \frac{3}{2} = \frac{14 \times 3}{5 \times 2} = \frac{42}{10}
   $$
3. Simplify the fraction by dividing numerator and denominator by 2:
   $$
   \frac{42 \div 2}{10 \div 2} = \frac{21}{5}
   $$
4. Convert the improper fraction to a mixed number:
   $$
   \frac{21}{5} = 4 \frac{1}{5} \quad (\text{since } 21 \div 5 = 4 \text{ with a remainder of } 1)
   $$

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**H. $$ 8 \frac{1}{3} \times 4 \frac{1}{3} $$**

1. Convert the mixed numbers to improper fractions:
   - $$ 8 \frac{1}{3} = \frac{8 \times 3 + 1}{3} = \frac{25}{3} $$
   - $$ 4 \frac{1}{3} = \frac{4 \times 3 + 1}{3} = \frac{13}{3} $$
2. Multiply the fractions:
   $$
   \frac{25}{3} \times \frac{13}{3} = \frac{25 \times 13}{3 \times 3} = \frac{325}{9}
   $$
3. Convert the improper fraction to a mixed number:
   - Divide $$325$$ by $$9$$:
     $$
     325 \div 9 = 36 \text{ remainder } 1 \quad (\text{since } 36 \times 9 = 324 \text{ and } 325 - 324 = 1)
     $$
   - Therefore:
     $$
     \frac{325}{9} = 36 \frac{1}{9}
     $$
     
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**Final Answers:**

- A. $$ 4 \frac{2}{3} $$
- N. $$ 9 \frac{9}{16} $$
- V. $$ 4 \frac{1}{5} $$
- H. $$ 36 \frac{1}{9} $$
A. $$ 4 \frac{2}{3} $$ N. $$ 9 \frac{9}{16} $$ V. $$ 4 \frac{1}{5} $$ H. $$ 36 \frac{1}{9} $$

A.
N.
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