Part 1 of 8 $$ \begin{array}{lll}1 \leftarrow & ext { Points: } 0 ext { of } 1 \ ext { Compute the following mentally; find the exact answers. } \ \begin{array}{llll} ext { a. } 3 \frac{1}{2} \cdot 8 & ext { b. } 5 \frac{3}{4} \cdot 4 & ext { c. } 8 \frac{1}{4} \cdot 5 & ext { d. } 8 \cdot 2 \frac{1}{3} \ ext { e. } 2 \div \frac{1}{4} & ext { f. } 2 \frac{1}{5} \div \frac{1}{5} & ext { g. } 2 \div \frac{1}{2} & ext { h. } 5 \frac{1}{2} \div 2\end{array}\end{array} $$

Question

Part 1 of 8 $$ \begin{array}{lll}1 \leftarrow & 	ext { Points: } 0 	ext { of } 1 \ 	ext { Compute the following mentally; find the exact answers. } \ \begin{array}{llll}	ext { a. } 3 \frac{1}{2} \cdot 8 & 	ext { b. } 5 \frac{3}{4} \cdot 4 & 	ext { c. } 8 \frac{1}{4} \cdot 5 & 	ext { d. } 8 \cdot 2 \frac{1}{3} \ 	ext { e. } 2 \div \frac{1}{4} & 	ext { f. } 2 \frac{1}{5} \div \frac{1}{5} & 	ext { g. } 2 \div \frac{1}{2} & 	ext { h. } 5 \frac{1}{2} \div 2\end{array}\end{array} $$

UpStudy AI · Accepted Answer

Let's compute each part step by step.

### a. $$ 3 \frac{1}{2} \cdot 8 $$

First, convert the mixed number to an improper fraction:
$$
3 \frac{1}{2} = \frac{7}{2}
$$
Now, multiply:
$$
\frac{7}{2} \cdot 8 = \frac{7 \cdot 8}{2} = \frac{56}{2} = 28
$$

### b. $$ 5 \frac{3}{4} \cdot 4 $$

Convert the mixed number to an improper fraction:
$$
5 \frac{3}{4} = \frac{23}{4}
$$
Now, multiply:
$$
\frac{23}{4} \cdot 4 = \frac{23 \cdot 4}{4} = 23
$$

### c. $$ 8 \frac{1}{4} \cdot 5 $$

Convert the mixed number to an improper fraction:
$$
8 \frac{1}{4} = \frac{33}{4}
$$
Now, multiply:
$$
\frac{33}{4} \cdot 5 = \frac{33 \cdot 5}{4} = \frac{165}{4} = 41.25
$$

### d. $$ 8 \cdot 2 \frac{1}{3} $$

Convert the mixed number to an improper fraction:
$$
2 \frac{1}{3} = \frac{7}{3}
$$
Now, multiply:
$$
8 \cdot \frac{7}{3} = \frac{8 \cdot 7}{3} = \frac{56}{3} \approx 18.67
$$

### e. $$ 2 \div \frac{1}{4} $$

Dividing by a fraction is the same as multiplying by its reciprocal:
$$
2 \div \frac{1}{4} = 2 \cdot 4 = 8
$$

### f. $$ 2 \frac{1}{5} \div \frac{1}{5} $$

Convert the mixed number to an improper fraction:
$$
2 \frac{1}{5} = \frac{11}{5}
$$
Now, divide:
$$
\frac{11}{5} \div \frac{1}{5} = \frac{11}{5} \cdot 5 = 11
$$

### g. $$ 2 \div \frac{1}{2} $$

Dividing by a fraction is the same as multiplying by its reciprocal:
$$
2 \div \frac{1}{2} = 2 \cdot 2 = 4
$$

### h. $$ 5 \frac{1}{2} \div 2 $$

Convert the mixed number to an improper fraction:
$$
5 \frac{1}{2} = \frac{11}{2}
$$
Now, divide:
$$
\frac{11}{2} \div 2 = \frac{11}{2} \cdot \frac{1}{2} = \frac{11}{4} = 2.75
$$

### Summary of Answers:
- a. $$ 28 $$
- b. $$ 23 $$
- c. $$ 41.25 $$
- d. $$ \frac{56}{3} $$ or approximately $$ 18.67 $$
- e. $$ 8 $$
- f. $$ 11 $$
- g. $$ 4 $$
- h. $$ 2.75 $$ or $$ \frac{11}{4} $$
Here are the answers: - a. 28 - b. 23 - c. 41.25 - d. 18.67 - e. 8 - f. 11 - g. 4 - h. 2.75

Part 1 of 8

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Arithmetic Questions