(6) $\frac{7}{8} - \frac{1}{2} - \frac{1}{3}$
=

(7) $\frac{2}{3} - \frac{1}{4} - \frac{1}{8}$
=

(8) $\frac{7}{8} - \frac{1}{4} - \frac{2}{5}$
=

(9) $\frac{7}{8} - \frac{1}{4} - \frac{1}{6}$
=

(10) $\frac{6}{7} - \frac{1}{8} - \frac{1}{2}$
=

Question

(6) $\frac{7}{8} - \frac{1}{2} - \frac{1}{3}$
=

(7) $\frac{2}{3} - \frac{1}{4} - \frac{1}{8}$
=

(8) $\frac{7}{8} - \frac{1}{4} - \frac{2}{5}$
=

(9) $\frac{7}{8} - \frac{1}{4} - \frac{1}{6}$
=

(10) $\frac{6}{7} - \frac{1}{8} - \frac{1}{2}$
=

Accepted Answer

{ "quality": "clear", "question_count": 5, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Fraction Subtraction", "Common Denominator" ], "new_concepts": [], "current_concepts": [ "Fraction Subtraction", "Common Denominator" ] } ## Find common denominators $$ \begin{aligned} &\text{For (6): } \text{LCM}(8, 2, 3) = 24 \ &\text{For (7): } \text{LCM}(3, 4, 8) = 24 \ &\text{For (8): } \text{LCM}(8, 4, 5) = 40 \ &\text{For (9): } \text{LCM}(8, 4, 6) = 24 \ &\text{For (10): } \text{LCM}(7, 8, 2) = 56 \end{aligned} $$ ## Convert fractions to common denominators $$ \begin{aligned} &\text{For (6): } \frac{7}{8} - \frac{1}{2} - \frac{1}{3} = \frac{21}{24} - \frac{12}{24} - \frac{8}{24} \ &\text{For (7): } \frac{2}{3} - \frac{1}{4} - \frac{1}{8} = \frac{16}{24} - \frac{6}{24} - \frac{3}{24} \ &\text{For (8): } \frac{7}{8} - \frac{1}{4} - \frac{2}{5} = \frac{35}{40} - \frac{10}{40} - \frac{16}{40} \ &\text{For (9): } \frac{7}{8} - \frac{1}{4} - \frac{1}{6} = \frac{21}{24} - \frac{6}{24} - \frac{4}{24} \ &\text{For (10): } \frac{6}{7} - \frac{1}{8} - \frac{1}{2} = \frac{48}{56} - \frac{7}{56} - \frac{28}{56} \end{aligned} $$ ## Subtract numerators $$ \begin{aligned} &\text{For (6): } \frac{21 - 12 - 8}{24} = \frac{1}{24} \ &\text{For (7): } \frac{16 - 6 - 3}{24} = \frac{7}{24} \ &\text{For (8): } \frac{35 - 10 - 16}{40} = \frac{9}{40} \ &\text{For (9): } \frac{21 - 6 - 4}{24} = \frac{11}{24} \ &\text{For (10): } \frac{48 - 7 - 28}{56} = \frac{13}{56} \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | (6) | $\frac{7}{8} - \frac{1}{2} - \frac{1}{3}$ | $\frac{1}{24}$ | | (7) | $\frac{2}{3} - \frac{1}{4} - \frac{1}{8}$ | $\frac{7}{24}$ | | (8) | $\frac{7}{8} - \frac{1}{4} - \frac{2}{5}$ | $\frac{9}{40}$ | | (9) | $\frac{7}{8} - \frac{1}{4} - \frac{1}{6}$ | $\frac{11}{24}$ | | (10) | $\frac{6}{7} - \frac{1}{8} - \frac{1}{2}$ | $\frac{13}{56}$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Arithmetic", "Fraction Subtraction" ] }

No.	Problem	Answer
(7)	\(\frac{2}{3} - \frac{1}{4} - \frac{1}{8}\)	\(\frac{7}{24}\)
(8)	\(\frac{7}{8} - \frac{1}{4} - \frac{2}{5}\)	\(\frac{9}{40}\)
(9)	\(\frac{7}{8} - \frac{1}{4} - \frac{1}{6}\)	\(\frac{11}{24}\)
(10)	\(\frac{6}{7} - \frac{1}{8} - \frac{1}{2}\)	\(\frac{13}{56}\)

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QUESTION IMAGE

Question

Explanation:

Find common denominators

Convert fractions to common denominators

Subtract numerators

Answer: