Question

question 9 of 23 - multiple choice

\\(6/8 \times 13-14/15 = ?\\)

a \\(9-9/20\\)

b \\(9-1/2\\)

c \\(10-9/20\\)

d \\(10-1/2\\)

Explanation:

Convert the mixed number to an improper fraction

Using the Fraction Arithmetic knowledge point

$$ 13\frac{14}{15} = \frac{13 \times 15 + 14}{15} = \frac{195 + 14}{15} = \frac{209}{15} $$

Simplify the multiplying fraction

Using the Fraction Arithmetic knowledge point

$$ \frac{6}{8} = \frac{3}{4} $$

Multiply the fractions

Using the Fraction Arithmetic knowledge point

$$ \frac{3}{4} \times \frac{209}{15} = \frac{3 \times 209}{4 \times 15} = \frac{1 \times 209}{4 \times 5} = \frac{209}{20} $$

Convert back to a mixed number

Using the Fraction Arithmetic knowledge point

$$ \frac{209}{20} = 10\frac{9}{20} $$

Analyze the common misconception for Option B

Using the Fraction Arithmetic knowledge point

$$
LATEXBLOCK0
$$

Answer:

• A \(9\text{-}9/20\)
• B \(9\text{-}1/2\)
• C \(10\text{-}9/20\) (Correct answer)
• D \(10\text{-}1/2\)