Questions: 6/13 ÷ (-18/39)

6/13 ÷ (-18/39)
Transcript text: $\frac{6}{13} \div\left(-\frac{18}{39}\right)$
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Solution

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Solution Steps

Step 1: Rewrite the Division as Multiplication

To solve the division of fractions, we first rewrite the division as multiplication by the reciprocal. The given expression is:

\[ \frac{6}{13} \div \left(-\frac{18}{39}\right) \]

This can be rewritten as:

\[ \frac{6}{13} \times \left(-\frac{39}{18}\right) \]

Step 2: Simplify the Expression

Next, we simplify the expression by multiplying the numerators and the denominators:

\[ \frac{6 \times (-39)}{13 \times 18} \]

Calculate the products:

  • Numerator: \(6 \times (-39) = -234\)
  • Denominator: \(13 \times 18 = 234\)

So, the expression becomes:

\[ \frac{-234}{234} \]

Step 3: Simplify the Fraction

The fraction \(\frac{-234}{234}\) simplifies to:

\[ -1 \]

Final Answer

\[ \boxed{-1} \]

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