a. One half of a week. b. One quarter of a day. c. One fifth of a decade. d. One third of an hour. e. One half of a century. f. One half of a millennium. g. What fraction is 2 days of 9 weeks? 4\} h. What fraction is 3 months of 9 years? i. What fraction is 15 minutes of an hour?

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UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1}{4}\times 24$$
- step1: Reduce the numbers:
  $$1\times 6$$
- step2: Simplify:
  $$6$$
Calculate or simplify the expression $$ 1/3 * 60 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1}{3}\times 60$$
- step1: Reduce the numbers:
  $$1\times 20$$
- step2: Simplify:
  $$20$$
Calculate or simplify the expression $$ 15/60 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{15}{60}$$
- step1: Reduce the fraction:
  $$\frac{1}{4}$$
Calculate or simplify the expression $$ 1/2 * 1000 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1}{2}\times 1000$$
- step1: Reduce the numbers:
  $$1\times 500$$
- step2: Simplify:
  $$500$$
Calculate or simplify the expression $$ 1/2 * 100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1}{2}\times 100$$
- step1: Reduce the numbers:
  $$1\times 50$$
- step2: Simplify:
  $$50$$
Calculate or simplify the expression $$ 2/(9*7) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{2}{\left(9\times 7\right)}$$
- step1: Remove the parentheses:
  $$\frac{2}{9\times 7}$$
- step2: Multiply the numbers:
  $$\frac{2}{63}$$
Calculate or simplify the expression $$ 1/2 * 7 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1}{2}\times 7$$
- step1: Multiply:
  $$\frac{7}{2}$$
Calculate or simplify the expression $$ 1/5 * 10 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1}{5}\times 10$$
- step1: Reduce the numbers:
  $$1\times 2$$
- step2: Simplify:
  $$2$$
Calculate or simplify the expression $$ 3/(9*12) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{3}{\left(9\times 12\right)}$$
- step1: Remove the parentheses:
  $$\frac{3}{9\times 12}$$
- step2: Multiply the numbers:
  $$\frac{3}{108}$$
- step3: Reduce the fraction:
  $$\frac{1}{36}$$
Let's break down each part of the problem step by step:

### a. One half of a week
A week has 7 days. Therefore, one half of a week is:
$$
\frac{1}{2} \times 7 = \frac{7}{2} \text{ days} \quad \text{or} \quad 3.5 \text{ days}
$$

### b. One quarter of a day
A day has 24 hours. Therefore, one quarter of a day is:
$$
\frac{1}{4} \times 24 = 6 \text{ hours}
$$

### c. One fifth of a decade
A decade has 10 years. Therefore, one fifth of a decade is:
$$
\frac{1}{5} \times 10 = 2 \text{ years}
$$

### d. One third of an hour
An hour has 60 minutes. Therefore, one third of an hour is:
$$
\frac{1}{3} \times 60 = 20 \text{ minutes}
$$

### e. One half of a century
A century has 100 years. Therefore, one half of a century is:
$$
\frac{1}{2} \times 100 = 50 \text{ years}
$$

### f. One half of a millennium
A millennium has 1000 years. Therefore, one half of a millennium is:
$$
\frac{1}{2} \times 1000 = 500 \text{ years}
$$

### g. What fraction is 2 days of 9 weeks?
9 weeks is equal to $$9 \times 7 = 63$$ days. Therefore, the fraction is:
$$
\frac{2}{63}
$$

### h. What fraction is 3 months of 9 years?
9 years is equal to $$9 \times 12 = 108$$ months. Therefore, the fraction is:
$$
\frac{3}{108} = \frac{1}{36}
$$

### i. What fraction is 15 minutes of an hour?
An hour has 60 minutes. Therefore, the fraction is:
$$
\frac{15}{60} = \frac{1}{4}
$$

### Summary of Results:
- a. $$3.5$$ days
- b. $$6$$ hours
- c. $$2$$ years
- d. $$20$$ minutes
- e. $$50$$ years
- f. $$500$$ years
- g. $$\frac{2}{63}$$
- h. $$\frac{1}{36}$$
- i. $$\frac{1}{4}$$
- a. 3.5 days - b. 6 hours - c. 2 years - d. 20 minutes - e. 50 years - f. 500 years - g. 2/63 - h. 1/36 - i. 1/4

a. One half of a week. b. One quarter of a day. c. One fifth of a decade. d. One third of an hour. e. One half of a century. f. One half of a millennium. g. What fraction is 2 days of 9 weeks? 4\} h. What fraction is 3 months of 9 years? i. What fraction is 15 minutes of an hour?

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