What is the quotient of 6 / (3 1/5) (1 point)

Question

19 1/5

5/96

8/15

1 7/8

Answer 1

To divide 6 by (3 1/5), we can first convert the mixed number (3 1/5) into an improper fraction.

To do this, we multiply the whole number 3 by the denominator 5, then add the numerator 1 to get the numerator of the improper fraction:

3 * 5 + 1 = 15 + 1 = 16

The denominator of the improper fraction remains the same: 5.

So, (3 1/5) can be written as the improper fraction 16/5.

Now, we can divide 6 by 16/5 using the rule of dividing fractions.

To divide fractions, we multiply the first fraction (6) by the reciprocal of the second fraction (16/5 flipped):

6 * (5/16) = 30/16.

The fraction 30/16 can be simplified to the mixed number 1 14/16, which reduces to 1 7/8.

Therefore, the quotient of 6 / (3 1/5) is 1 7/8.