To divide 6 by 3 1/5, we need to convert the mixed number to an improper fraction.
3 1/5 can be rewritten as (5 * 3 + 1)/5 = 16/5.
So, the division becomes 6 ÷ 16/5.
To divide by a fraction, we can multiply by its reciprocal.
Reciprocal of 16/5 is 5/16.
Therefore, 6 ÷ 16/5 is equal to 6 * 5/16.
Now, multiply the numerators: 6 * 5 = 30.
Multiply the denominators: 1 * 16 = 16.
So, the quotient is 30/16.
Simplifying the fraction by dividing the numerator and denominator by their greatest common divisor (which is 2), we get:
30/16 = 15/8.
Therefore, the quotient of 6 ÷ 3 1/5 is 15/8, which is equivalent to 1 7/8.
Therefore, the answer is A: 1 7/8.
What is the quotient of 6 ÷ 3 1/5
A: 1 7/8
B: 5/96
C: 19 1/5
D: 8/15
1 answer