(5) $5 - \frac{2}{3} + \frac{1}{2}$
$= 4\frac{\square}{6} - \frac{4}{6} + \frac{3}{6}$
$=$

(6) $6 - \frac{1}{2} + \frac{1}{4}$
$=$

(7) $5 - 4\frac{3}{4} + \frac{1}{4}$
$=$

(8) $3 - \frac{1}{5} - \frac{7}{10}$
$=$

Question

(5) $5 - \frac{2}{3} + \frac{1}{2}$
$= 4\frac{\square}{6} - \frac{4}{6} + \frac{3}{6}$
$=$

(6) $6 - \frac{1}{2} + \frac{1}{4}$
$=$

(7) $5 - 4\frac{3}{4} + \frac{1}{4}$
$=$

(8) $3 - \frac{1}{5} - \frac{7}{10}$
$=$

Accepted Answer

{ "quality": "clear", "question_count": 4, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Fraction Subtraction", "Mixed Numbers", "Common Denominator", "Fraction Addition", "Order of Operations" ], "new_concepts": [], "current_concepts": [ "Fraction Subtraction", "Mixed Numbers", "Common Denominator", "Fraction Addition", "Order of Operations" ] } ## Solve Question 5 $$ \begin{aligned} 5 - \frac{2}{3} + \frac{1}{2} &= 4\frac{6}{6} - \frac{4}{6} + \frac{3}{6} \ &= 4\frac{6 - 4 + 3}{6} \ &= 4\frac{5}{6} \end{aligned} $$ The missing value in the box is $6$. ## Solve Question 6 $$ \begin{aligned} 6 - \frac{1}{2} + \frac{1}{4} &= 5\frac{4}{4} - \frac{2}{4} + \frac{1}{4} \ &= 5\frac{4 - 2 + 1}{4} \ &= 5\frac{3}{4} \end{aligned} $$ ## Solve Question 7 $$ \begin{aligned} 5 - 4\frac{3}{4} + \frac{1}{4} &= \frac{1}{4} + \frac{1}{4} \ &= \frac{2}{4} \ &= \frac{1}{2} \end{aligned} $$ ## Solve Question 8 $$ \begin{aligned} 3 - \frac{1}{5} - \frac{7}{10} &= 2\frac{10}{10} - \frac{2}{10} - \frac{7}{10} \ &= 2\frac{10 - 2 - 7}{10} \ &= 2\frac{1}{10} \end{aligned} $$ ## Question 5 $$ \begin{aligned} &5 - \frac{2}{3} + \frac{1}{2} \ &= 4\frac{\mathbf{6}}{6} - \frac{4}{6} + \frac{3}{6} \ &= 4\frac{5}{6} \end{aligned} $$ ## Question 6 $$ \begin{aligned} &6 - \frac{1}{2} + \frac{1}{4} \ &= 5\frac{3}{4} \end{aligned} $$ ## Question 7 $$ \begin{aligned} &5 - 4\frac{3}{4} + \frac{1}{4} \ &= \frac{1}{2} \end{aligned} $$ ## Question 8 $$ \begin{aligned} &3 - \frac{1}{5} - \frac{7}{10} \ &= 2\frac{1}{10} \end{aligned} $$ { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Fraction Subtraction" ] }

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