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

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

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

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

(10) $\frac{1}{2} + \frac{1}{3} - \frac{1}{7}$
=

Question

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

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

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

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

(10) $\frac{1}{2} + \frac{1}{3} - \frac{1}{7}$
=

Accepted Answer

{ "quality": "clear", "question_count": 5, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Fraction Addition", "Fraction Subtraction", "Common Denominator" ], "new_concepts": [], "current_concepts": [ "Fraction Addition", "Fraction Subtraction", "Common Denominator" ] } ## Find common denominators for each expression $$ \begin{aligned} &\text{For (6): } \text{LCM}(3, 4, 6) = 12\ &\text{For (7): } \text{LCM}(3, 4, 5) = 60\ &\text{For (8): } \text{LCM}(2, 3, 6) = 6\ &\text{For (9): } \text{LCM}(2, 3, 6) = 6\ &\text{For (10): } \text{LCM}(2, 3, 7) = 42 \end{aligned} $$ ## Convert fractions to equivalent fractions $$ \begin{aligned} &\text{For (6): } \frac{1}{3} + \frac{3}{4} - \frac{5}{6} = \frac{4}{12} + \frac{9}{12} - \frac{10}{12}\ &\text{For (7): } \frac{1}{3} + \frac{1}{4} - \frac{2}{5} = \frac{20}{60} + \frac{15}{60} - \frac{24}{60}\ &\text{For (8): } \frac{1}{2} + \frac{1}{3} - \frac{1}{6} = \frac{3}{6} + \frac{2}{6} - \frac{1}{6}\ &\text{For (9): } \frac{1}{2} + \frac{1}{3} - \frac{5}{6} = \frac{3}{6} + \frac{2}{6} - \frac{5}{6}\ &\text{For (10): } \frac{1}{2} + \frac{1}{3} - \frac{1}{7} = \frac{21}{42} + \frac{14}{42} - \frac{6}{42} \end{aligned} $$ ## Calculate final values $$ \begin{aligned} &\text{For (6): } \frac{4 + 9 - 10}{12} = \frac{3}{12} = \frac{1}{4}\ &\text{For (7): } \frac{20 + 15 - 24}{60} = \frac{11}{60}\ &\text{For (8): } \frac{3 + 2 - 1}{6} = \frac{4}{6} = \frac{2}{3}\ &\text{For (9): } \frac{3 + 2 - 5}{6} = \frac{0}{6} = 0\ &\text{For (10): } \frac{21 + 14 - 6}{42} = \frac{29}{42} \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | (6) | $\frac{1}{3} + \frac{3}{4} - \frac{5}{6}$ | $\frac{1}{4}$ | | (7) | $\frac{1}{3} + \frac{1}{4} - \frac{2}{5}$ | $\frac{11}{60}$ | | (8) | $\frac{1}{2} + \frac{1}{3} - \frac{1}{6}$ | $\frac{2}{3}$ | | (9) | $\frac{1}{2} + \frac{1}{3} - \frac{5}{6}$ | $0$ | | (10) | $\frac{1}{2} + \frac{1}{3} - \frac{1}{7}$ | $\frac{29}{42}$ | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Fraction Addition and Subtraction" ] }

No.	Problem	Answer
(7)	\(\frac{1}{3} + \frac{1}{4} - \frac{2}{5}\)	\(\frac{11}{60}\)
(8)	\(\frac{1}{2} + \frac{1}{3} - \frac{1}{6}\)	\(\frac{2}{3}\)
(9)	\(\frac{1}{2} + \frac{1}{3} - \frac{5}{6}\)	\(0\)
(10)	\(\frac{1}{2} + \frac{1}{3} - \frac{1}{7}\)	\(\frac{29}{42}\)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Find common denominators for each expression

Convert fractions to equivalent fractions

Calculate final values

Answer: