Questions: Which is NOT a step you perform to divide -2 1/8 ÷ 6 4/5. Select all that apply. Rewrite the mixed numbers as fractions. Divide 8 by 4. Multiply by the multiplicative inverse of 34/5. Multiply by the multiplicative inverse of 17/8. Multiply 8 and 34

Solution Steps

To solve the problem of identifying which steps are not part of dividing the mixed numbers \(-2 \frac{1}{8}\) by \(6 \frac{4}{5}\), we need to understand the correct procedure for division of mixed numbers. The correct steps involve converting mixed numbers to improper fractions, finding the reciprocal of the divisor, and then multiplying. We will identify which of the given steps do not fit this procedure.

To divide the mixed numbers \(-2 \frac{1}{8}\) and \(6 \frac{4}{5}\), we first convert them to improper fractions.

For \(-2 \frac{1}{8}\): \[ -2 \frac{1}{8} = \frac{-2 \times 8 - 1}{8} = \frac{-17}{8} \]

For \(6 \frac{4}{5}\): \[ 6 \frac{4}{5} = \frac{6 \times 5 + 4}{5} = \frac{34}{5} \]

The division of fractions involves multiplying by the reciprocal of the divisor. Therefore, we need to multiply \(\frac{-17}{8}\) by the reciprocal of \(\frac{34}{5}\).

The reciprocal of \(\frac{34}{5}\) is: \[ \frac{5}{34} \]

We need to identify which steps are not part of the correct division process:

• Divide 8 by 4: This step is not part of the division process of fractions.
• Multiply by the multiplicative inverse of \(\frac{17}{8}\): This step is incorrect because \(\frac{17}{8}\) is the dividend, not the divisor.
• Multiply 8 and 34: This step is not part of the division process.

Final Answer