Questions: Divide. Write your answer in simplest form. 2 ÷ 6/7

Divide. Write your answer in simplest form. 2 ÷ 6/7
Transcript text: Divide. Write your answer in simplest form. \[ 2 \div \frac{6}{7} \]
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Solution

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Solution Steps

Step 1: Invert the second fraction and multiply

To divide \(\frac{2}{1} \div \frac{6}{7}\), we multiply by the reciprocal of the second fraction, resulting in \(\frac{2}{1} \times \frac{7}{6}\). This gives us \(\frac{14}{6}\) before simplification.

Step 2: Simplify the resulting fraction

We find the greatest common divisor (GCD) of the numerator and denominator, which is 2, and divide both by this number to simplify the fraction. This results in \(\frac{7}{3}\) in its simplest form.

Final Answer:

The simplified result is \(\frac{7}{3}\), rounded to 0 decimal places if necessary.

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