Question

question 6 (1 point)
what is 180% written as a decimal and fraction in simplest form?

1.8 and 4/10
1.8 and 1 4/5
.18 and 4/10
.18 and 1 4/5

question 7 (1 point)
convert 3 2/8 into a decimal and a percent.

3.25 and 32.5%
0.325 and 325%
0.325 and 32.5%
3.25 and 325%

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 2,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Fraction Simplification"
],
"new_concepts": [
"Percent to Decimal Conversion",
"Percent to Fraction Conversion",
"Mixed Number to Decimal Conversion",
"Mixed Number to Percent Conversion"
],
"current_concepts": [
"Fraction Simplification",
"Percent to Decimal Conversion",
"Percent to Fraction Conversion",
"Mixed Number to Decimal Conversion",
"Mixed Number to Percent Conversion"
]
}
</pre_analysis>

<reasoning>

Convert 180% to a decimal and simplified fraction

\[

$$\begin{aligned} &\text{Decimal: } \frac{180}{100} = 1.8 \\ &\text{Fraction: } \frac{180}{100} = \frac{18}{10} = \frac{9}{5} = 1\frac{4}{5} \end{aligned}$$

\]

Convert 3 2/8 to a decimal and percent

\[

$$\begin{aligned} &3\frac{2}{8} = 3\frac{1}{4} \\ &\text{Decimal: } 3 + 0.25 = 3.25 \\ &\text{Percent: } 3.25 \times 100\% = 325\% \end{aligned}$$

\]
</reasoning>

<answer>

Question 6

<mcq-option>(A) 1.8 and 4/10</mcq-option>
<mcq-correct>(B) 1.8 and 1 4/5</mcq-correct>
<mcq-option>(C) .18 and 4/10</mcq-option>
<mcq-option>(D) .18 and 1 4/5</mcq-option>

Question 7

<mcq-option>(A) 3.25 and 32.5%</mcq-option>
<mcq-option>(B) 0.325 and 325%</mcq-option>
<mcq-option>(C) 0.325 and 32.5%</mcq-option>
<mcq-correct>(D) 3.25 and 325%</mcq-correct>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Percent to Decimal Conversion"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 2,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Fraction Simplification"
],
"new_concepts": [
"Percent to Decimal Conversion",
"Percent to Fraction Conversion",
"Mixed Number to Decimal Conversion",
"Mixed Number to Percent Conversion"
],
"current_concepts": [
"Fraction Simplification",
"Percent to Decimal Conversion",
"Percent to Fraction Conversion",
"Mixed Number to Decimal Conversion",
"Mixed Number to Percent Conversion"
]
}
</pre_analysis>

<reasoning>

Convert 180% to a decimal and simplified fraction

\[

$$\begin{aligned} &\text{Decimal: } \frac{180}{100} = 1.8 \\ &\text{Fraction: } \frac{180}{100} = \frac{18}{10} = \frac{9}{5} = 1\frac{4}{5} \end{aligned}$$

\]

Convert 3 2/8 to a decimal and percent

\[

$$\begin{aligned} &3\frac{2}{8} = 3\frac{1}{4} \\ &\text{Decimal: } 3 + 0.25 = 3.25 \\ &\text{Percent: } 3.25 \times 100\% = 325\% \end{aligned}$$

\]
</reasoning>

<answer>

Question 6

<mcq-option>(A) 1.8 and 4/10</mcq-option>
<mcq-correct>(B) 1.8 and 1 4/5</mcq-correct>
<mcq-option>(C) .18 and 4/10</mcq-option>
<mcq-option>(D) .18 and 1 4/5</mcq-option>

Question 7

<mcq-option>(A) 3.25 and 32.5%</mcq-option>
<mcq-option>(B) 0.325 and 325%</mcq-option>
<mcq-option>(C) 0.325 and 32.5%</mcq-option>
<mcq-correct>(D) 3.25 and 325%</mcq-correct>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Percent to Decimal Conversion"
]
}
</post_analysis>