\
\begin{array}{r}
\frac{4}{5} \\
- \frac{1}{4} \\
\hline
\end{array}
\

* $\frac{1}{4}$
* $\frac{11}{20}$
* $\frac{3}{5}$
* $1 \frac{1}{20}$
* none of these

Question

\
\begin{array}{r}
\frac{4}{5} \\
- \frac{1}{4} \\
\hline
\end{array}
\

* $\frac{1}{4}$
* $\frac{11}{20}$
* $\frac{3}{5}$
* $1 \frac{1}{20}$
* none of these

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": [ "Fraction Subtraction", "Common Denominator" ], "current_concepts": [ "Fraction Subtraction", "Common Denominator" ] } ## Find a common denominator $$ \text{LCD}(5, 4) = 20 $$ ## Convert fractions $$ \begin{aligned} \frac{4}{5} &= \frac{4 \times 4}{5 \times 4} = \frac{16}{20} \ \frac{1}{4} &= \frac{1 \times 5}{4 \times 5} = \frac{5}{20} \end{aligned} $$ ## Subtract the fractions $$ \frac{16}{20} - \frac{5}{20} = \frac{11}{20} $$

(A) $\frac{1}{4}$

(B) $\frac{11}{20}$

(C) $\frac{3}{5}$

(D) $1 \frac{1}{20}$

(E) none of these

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Find a common denominator

Convert fractions

Subtract the fractions

Answer: