Multiply 6 by 2 1/7

Question

. Convert the product to be a mixed number.(1 point)

Answer 1

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

1. Convert the mixed number to an improper fraction: \[ 2 \frac{1}{7} = 2 \times 7 + 1 = 14 + 1 = 15 \quad \text{(the numerator)} \] The denominator remains 7, so: \[ 2 \frac{1}{7} = \frac{15}{7} \]

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

3. Convert \( \frac{90}{7} \) to a mixed number:

   • Divide 90 by 7:
     • \( 90 \div 7 = 12 \) (whole number part)
     • \( 90 - (12 \times 7) = 90 - 84 = 6 \) (remainder)

Therefore, \( \frac{90}{7} \) can be written as: \[ 12 \frac{6}{7} \]

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