a) $$ 2\left(\frac{3}{2}+0,5 ight)+\frac{1}{2} $$ b) $$ 1000 imes 5 imes \frac{2}{5}+1 imes 0 $$ c) $$ \frac{5}{6}-0 imes \frac{6}{5} $$ d) $$ 6 imes 3 imes \frac{1}{90}+9+0 $$

Question

a) $$ 2\left(\frac{3}{2}+0,5ight)+\frac{1}{2} $$ b) $$ 1000 	imes 5 	imes \frac{2}{5}+1 	imes 0 $$ c) $$ \frac{5}{6}-0 	imes \frac{6}{5} $$ d) $$ 6 	imes 3 	imes \frac{1}{90}+9+0 $$

UpStudy AI · Accepted Answer

Let's evaluate each expression step by step:

---

### a) $$ 2\left(\frac{3}{2} + 0.5\right) + \frac{1}{2} $$

1. **Inside the parentheses:**
   $$
   \frac{3}{2} + 0.5 = \frac{3}{2} + \frac{1}{2} = \frac{4}{2} = 2
   $$
2. **Multiply by 2:**
   $$
   2 \times 2 = 4
   $$
3. **Add $$\frac{1}{2}$$:**
   $$
   4 + \frac{1}{2} = \frac{8}{2} + \frac{1}{2} = \frac{9}{2} = 4.5
   $$

**Answer:** $$ \frac{9}{2} $$ or **4.5**

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### b) $$ 1000 \times 5 \times \frac{2}{5} + 1 \times 0 $$

1. **Multiply 1000 by 5:**
   $$
   1000 \times 5 = 5000
   $$
2. **Multiply by $$\frac{2}{5}$$:**
   $$
   5000 \times \frac{2}{5} = 5000 \times 0.4 = 2000
   $$
3. **Add $$1 \times 0$$:**
   $$
   2000 + 0 = 2000
   $$

**Answer:** **2000**

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### c) $$ \frac{5}{6} - 0 \times \frac{6}{5} $$

1. **Multiply 0 by $$\frac{6}{5}$$:**
   $$
   0 \times \frac{6}{5} = 0
   $$
2. **Subtract from $$\frac{5}{6}$$:**
   $$
   \frac{5}{6} - 0 = \frac{5}{6}
   $$

**Answer:** $$ \frac{5}{6} $$

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### d) $$ 6 \times 3 \times \frac{1}{90} + 9 + 0 $$

1. **Multiply 6 by 3:**
   $$
   6 \times 3 = 18
   $$
2. **Multiply by $$\frac{1}{90}$$:**
   $$
   18 \times \frac{1}{90} = \frac{18}{90} = \frac{1}{5} = 0.2
   $$
3. **Add 9 and 0:**
   $$
   0.2 + 9 = 9.2
   $$
   Alternatively, as a fraction:
   $$
   \frac{1}{5} + 9 = \frac{1}{5} + \frac{45}{5} = \frac{46}{5}
   $$

**Answer:** $$ \frac{46}{5} $$ or **9.2**

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Feel free to reach out if you have any more questions!
a) 4.5 b) 2000 c) 5/6 d) 46/5 or 9.2

a)
b)
c)
d)

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