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

(7) $4\frac{5}{12} - 1\frac{1}{2} - \frac{1}{4}$
=

(6) $4\frac{1}{12} - 1\frac{2}{3} - 1\frac{1}{4}$
=

(8) $3\frac{5}{6} - 1\frac{2}{3} - 1\frac{1}{2}$
=

Question

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

(7) $4\frac{5}{12} - 1\frac{1}{2} - \frac{1}{4}$
=

(6) $4\frac{1}{12} - 1\frac{2}{3} - 1\frac{1}{4}$
=

(8) $3\frac{5}{6} - 1\frac{2}{3} - 1\frac{1}{2}$
=

Accepted Answer

{ "quality": "clear", "question_count": 4, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Fraction Subtraction", "Mixed Numbers", "Common Denominator" ], "new_concepts": [], "current_concepts": [ "Fraction Subtraction", "Mixed Numbers", "Common Denominator" ] } ## Solve Question 5 $$ \begin{aligned} 3\frac{1}{2} - 1\frac{3}{4} - \frac{2}{5} &= \frac{7}{2} - \frac{7}{4} - \frac{2}{5} \ &= \frac{70}{20} - \frac{35}{20} - \frac{8}{20} \ &= \frac{27}{20} = 1\frac{7}{20} \end{aligned} $$ ## Solve Question 6 $$ \begin{aligned} 4\frac{1}{12} - 1\frac{2}{3} - 1\frac{1}{4} &= \frac{49}{12} - \frac{5}{3} - \frac{5}{4} \ &= \frac{49}{12} - \frac{20}{12} - \frac{15}{12} \ &= \frac{14}{12} = \frac{7}{6} = 1\frac{1}{6} \end{aligned} $$ ## Solve Question 7 $$ \begin{aligned} 4\frac{5}{12} - 1\frac{1}{2} - \frac{1}{4} &= \frac{53}{12} - \frac{3}{2} - \frac{1}{4} \ &= \frac{53}{12} - \frac{18}{12} - \frac{3}{12} \ &= \frac{32}{12} = \frac{8}{3} = 2\frac{2}{3} \end{aligned} $$ ## Solve Question 8 $$ \begin{aligned} 3\frac{5}{6} - 1\frac{2}{3} - 1\frac{1}{2} &= \frac{23}{6} - \frac{5}{3} - \frac{3}{2} \ &= \frac{23}{6} - \frac{10}{6} - \frac{9}{6} \ &= \frac{4}{6} = \frac{2}{3} \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | (5) | $3\frac{1}{2} - 1\frac{3}{4} - \frac{2}{5}$ | $1\frac{7}{20}$ | | (6) | $4\frac{1}{12} - 1\frac{2}{3} - 1\frac{1}{4}$ | $1\frac{1}{6}$ | | (7) | $4\frac{5}{12} - 1\frac{1}{2} - \frac{1}{4}$ | $2\frac{2}{3}$ | | (8) | $3\frac{5}{6} - 1\frac{2}{3} - 1\frac{1}{2}$ | $\frac{2}{3}$ | { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Fraction Subtraction" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Solve Question 5

Solve Question 6

Solve Question 7

Solve Question 8

Answer:

No.	Problem	Answer
(6)	\(4\frac{1}{12} - 1\frac{2}{3} - 1\frac{1}{4}\)	\(1\frac{1}{6}\)
(7)	\(4\frac{5}{12} - 1\frac{1}{2} - \frac{1}{4}\)	\(2\frac{2}{3}\)
(8)	\(3\frac{5}{6} - 1\frac{2}{3} - 1\frac{1}{2}\)	\(\frac{2}{3}\)