Multiply 6 by 2 1/7 . Convert the product to be a mixed number.(1 point)

Responses

13 1/7

90/7

12 6/7

83 1/7

The correct answer is 12 6/7.

To multiply 6 by 2 1/7, you can follow these steps:

Step 1: Convert the mixed number 2 1/7 to an improper fraction.
2 1/7 as an improper fraction is 15/7.

Step 2: Multiply 6 by 15/7.
6 x 15/7 = 90/7.

Step 3: Convert the improper fraction 90/7 to a mixed number.
To convert an improper fraction to a mixed number, divide the numerator (90) by the denominator (7), and write the quotient as the whole number part. The remainder becomes the numerator of the fraction.
90 รท 7 = 12 with a remainder of 6/7.

Therefore, the product of 6 and 2 1/7 is equal to the mixed number 12 6/7.

To multiply 6 by 2 1/7, you can follow these steps:

Step 1: Convert the mixed number to an improper fraction.
To convert 2 1/7 to an improper fraction, you multiply the whole number (2) by the denominator (7) and then add the numerator (1). This gives you (2 * 7) + 1 = 15/7.

Step 2: Multiply the improper fraction by 6.
To find the product, you multiply the improper fraction (15/7) by 6. This can be done by multiplying the numerators (15 * 6) to get 90 and multiplying the denominators (7 * 1) to get 7. Therefore, the product is 90/7.

Step 3: Convert the improper fraction to a mixed number.
To convert the improper fraction 90/7 to a mixed number, divide the numerator (90) by the denominator (7). In this case, the quotient is 12 with a remainder of 6. The quotient becomes the whole number part and the remainder will be the numerator of the fractional part. So, the mixed number form of 90/7 is 12 6/7.

Therefore, the correct answer is 12 6/7.