Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which of the following values expresses the result of \\(5/4 + 2/4\\) a…

Question

which of the following values expresses the result of \\(5/4 + 2/4\\) as a decimal?

select the single best answer:
a. 1.4
b. 1.5
c. 1.75
d. 2.15
e. 2.25

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Fraction Addition",
"Fraction to Decimal Conversion"
],
"new_concepts": [],
"current_concepts": [
"Fraction Addition",
"Fraction to Decimal Conversion"
]
}
</pre_analysis>

<reasoning>

Add the fractions with like denominators

\[
\frac{5}{4} + \frac{2}{4} = \frac{5 + 2}{4} = \frac{7}{4}
\]

Convert the resulting fraction to a decimal

\[
\frac{7}{4} = 1 + \frac{3}{4} = 1 + 0.75 = 1.75
\]
</reasoning>

<answer>
<mcq-option>A. 1.4</mcq-option>
<mcq-option>B. 1.5</mcq-option>
<mcq-correct>C. 1.75</mcq-correct>
<mcq-option>D. 2.15</mcq-option>
<mcq-option>E. 2.25</mcq-option>
</answer>

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

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Fraction Addition",
"Fraction to Decimal Conversion"
],
"new_concepts": [],
"current_concepts": [
"Fraction Addition",
"Fraction to Decimal Conversion"
]
}
</pre_analysis>

<reasoning>

Add the fractions with like denominators

\[
\frac{5}{4} + \frac{2}{4} = \frac{5 + 2}{4} = \frac{7}{4}
\]

Convert the resulting fraction to a decimal

\[
\frac{7}{4} = 1 + \frac{3}{4} = 1 + 0.75 = 1.75
\]
</reasoning>

<answer>
<mcq-option>A. 1.4</mcq-option>
<mcq-option>B. 1.5</mcq-option>
<mcq-correct>C. 1.75</mcq-correct>
<mcq-option>D. 2.15</mcq-option>
<mcq-option>E. 2.25</mcq-option>
</answer>

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