Questions: Multiply. -5/9 * 1/4 Write your answer in simplest form.

Multiply. -5/9 * 1/4 Write your answer in simplest form.
Transcript text: Multiply. \[ -\frac{5}{9} \cdot \frac{1}{4} \] Write your answer in simplest form.
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Solution

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Solution Steps

Step 1: Multiply the numerators

Multiply the numerators of the fractions: \[ -5 \cdot 1 = -5 \]

Step 2: Multiply the denominators

Multiply the denominators of the fractions: \[ 9 \cdot 4 = 36 \]

Step 3: Combine the results

Combine the results from Step 1 and Step 2 to form the new fraction: \[ -\frac{5}{36} \]

Step 4: Simplify the fraction

The fraction \(-\frac{5}{36}\) is already in its simplest form since 5 and 36 have no common factors other than 1.

Final Answer

\(\boxed{-\frac{5}{36}}\)

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