Multiply 6 by 2 1/7 . Convert the product to be a mixed number.(1 point) Responses 13 1/7 13 Start Fraction 1 over 7 End Fraction 83 1/7 83 Start Fraction 1 over 7 End Fraction 12 6/7 12 Start Fraction 6 over 7 End Fraction 90/7

Answer 1

To multiply 6 by \(2 \frac{1}{7}\), we first convert the mixed number \(2 \frac{1}{7}\) into an improper fraction.

1. Convert \(2 \frac{1}{7}\) into an improper fraction: \[ 2 \frac{1}{7} = \frac{2 \times 7 + 1}{7} = \frac{14 + 1}{7} = \frac{15}{7} \]

2. Now multiply by 6: \[ 6 \times \frac{15}{7} = \frac{6 \times 15}{7} = \frac{90}{7} \]

3. Convert \(\frac{90}{7}\) into a mixed number. To do this, divide 90 by 7:

   • 90 ÷ 7 = 12 remainder 6, which gives us: \[ \frac{90}{7} = 12 \frac{6}{7} \]

So, the product of \(6 \times 2 \frac{1}{7}\) is \(12 \frac{6}{7}\).

The correct response is \(12 \frac{6}{7}\).