calculate.
(1) $2\frac{1}{4} + \frac{1}{6} - \frac{1}{2}$
$= 2\frac{\box}{12} + \frac{2}{12} - \frac{6}{12}$
$= 1\frac{\box}{12} + \frac{2}{12} - \frac{6}{12}$
$=$

(2) $3\frac{1}{12} + \frac{1}{2} - \frac{2}{3}$
$=$

(3) $4\frac{1}{5} + \frac{1}{15} - \frac{2}{3}$

(4) $5\frac{1}{9} + \frac{1}{6} - \frac{2}{3}$
$=$

(5) $5\frac{1}{10} + 1\frac{1}{5} - \frac{1}{2}$
$=$

Question

calculate.
(1) $2\frac{1}{4} + \frac{1}{6} - \frac{1}{2}$
$= 2\frac{\box}{12} + \frac{2}{12} - \frac{6}{12}$
$= 1\frac{\box}{12} + \frac{2}{12} - \frac{6}{12}$
$=$

(2) $3\frac{1}{12} + \frac{1}{2} - \frac{2}{3}$
$=$

(3) $4\frac{1}{5} + \frac{1}{15} - \frac{2}{3}$

(4) $5\frac{1}{9} + \frac{1}{6} - \frac{2}{3}$
$=$

(5) $5\frac{1}{10} + 1\frac{1}{5} - \frac{1}{2}$
$=$

Accepted Answer

{ "quality": "clear", "question_count": 5, "skills_matched": [ "step_cot", "table_formatter", "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" ] } ## Find common denominators for each expression $$ \begin{aligned} &\text{(1) } \text{LCD}(4, 6, 2) = 12\ &\text{(2) } \text{LCD}(12, 2, 3) = 12\ &\text{(3) } \text{LCD}(5, 15, 3) = 15\ &\text{(4) } \text{LCD}(9, 6, 3) = 18\ &\text{(5) } \text{LCD}(10, 5, 2) = 10 \end{aligned} $$ ## Convert fractions and calculate intermediate steps $$ \begin{aligned} &\text{(1) } 2\frac{3}{12} + \frac{2}{12} - \frac{6}{12} = 2\frac{5}{12} - \frac{6}{12} = 1\frac{17}{12} - \frac{6}{12} = 1\frac{11}{12}\ &\text{(2) } 3\frac{1}{12} + \frac{6}{12} - \frac{8}{12} = 3\frac{7}{12} - \frac{8}{12} = 2\frac{19}{12} - \frac{8}{12} = 2\frac{11}{12}\ &\text{(3) } 4\frac{3}{15} + \frac{1}{15} - \frac{10}{15} = 4\frac{4}{15} - \frac{10}{15} = 3\frac{19}{15} - \frac{10}{15} = 3\frac{9}{15} = 3\frac{3}{5}\ &\text{(4) } 5\frac{2}{18} + \frac{3}{18} - \frac{12}{18} = 5\frac{5}{18} - \frac{12}{18} = 4\frac{23}{18} - \frac{12}{18} = 4\frac{11}{18}\ &\text{(5) } 5\frac{1}{10} + 1\frac{2}{10} - \frac{5}{10} = 6\frac{3}{10} - \frac{5}{10} = 5\frac{13}{10} - \frac{5}{10} = 5\frac{8}{10} = 5\frac{4}{5} \end{aligned} $$ ## Fill in the blanks for question (1) $$ \begin{aligned} &\text{First blank (numerator of } 2\frac{\square}{12}\text{): } 3\ &\text{Second blank (numerator of } 1\frac{\square}{12}\text{): } 15\ &\text{Final value: } 1\frac{11}{12} \end{aligned} $$ | No. | Answer | |---|---| | (1) | First blank: $3$, Second blank: $15$, Final: $1\frac{11}{12}$ | | (2) | $2\frac{11}{12}$ | | (3) | $3\frac{3}{5}$ | | (4) | $4\frac{11}{18}$ | | (5) | $5\frac{4}{5}$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Mixed Numbers" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Find common denominators for each expression

Convert fractions and calculate intermediate steps

Fill in the blanks for question (1)

Answer:

No.	Answer
(2)	\(2\frac{11}{12}\)
(3)	\(3\frac{3}{5}\)
(4)	\(4\frac{11}{18}\)
(5)	\(5\frac{4}{5}\)