which is the value of $\frac{1}{8} \times \frac{1}{2} + \frac{3}{4} \div \frac{1}{2}$? express your answer in lowest terms.

a. $1\frac{5}{18}$
b. $\frac{7}{18}$
c. $\frac{5}{16}$
d. $1\frac{9}{16}$

Question

which is the value of $\frac{1}{8} \times \frac{1}{2} + \frac{3}{4} \div \frac{1}{2}$? express your answer in lowest terms.

a. $1\frac{5}{18}$
b. $\frac{7}{18}$
c. $\frac{5}{16}$
d. $1\frac{9}{16}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Order of Operations", "Fraction Arithmetic" ], "current_concepts": [ "Order of Operations", "Fraction Arithmetic" ] } ## Perform multiplication and division first $$ \begin{aligned} \frac{1}{8} \times \frac{1}{2} &= \frac{1}{16} \ \frac{3}{4} \div \frac{1}{2} &= \frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2} \end{aligned} $$ ## Add the resulting fractions $$ \begin{aligned} \frac{1}{16} + \frac{3}{2} &= \frac{1}{16} + \frac{24}{16} \ &= \frac{25}{16} \end{aligned} $$ ## Convert to a mixed number in lowest terms $$ \frac{25}{16} = 1\frac{9}{16} $$

(A) $1 \frac{5}{18}$

(B) $\frac{7}{18}$

(C) $\frac{5}{16}$

(D) $1 \frac{9}{16}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Fraction Arithmetic" ] }

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QUESTION IMAGE

Question

Explanation:

Perform multiplication and division first

Add the resulting fractions

Convert to a mixed number in lowest terms

Answer: