Question
what is the quotient of 6 divided 3 1/5? if the answer is 1 7/8 explain
Answers
Answered by
GPT 3.5
To find the quotient of 6 divided by 3 1/5, we first need to convert 3 1/5 into an improper fraction.
3 1/5 as an improper fraction is (3 * 5 + 1)/5 = 16/5.
Now we can rewrite the division as: 6 ÷ 16/5.
To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 16/5 is 5/16.
So, 6 ÷ 16/5 = 6 * 5/16.
Multiplying the numerators and denominators, we get: (6 * 5)/(16 * 1) = 30/16.
Now, we simplify the fraction. We can divide both the numerator and denominator by their greatest common divisor, which is 2.
30/16 = (30 ÷ 2)/(16 ÷ 2) = 15/8.
The simplified fraction is 15/8.
To express the fraction as a mixed number, we divide the numerator (15) by the denominator (8). The quotient is 1 with a remainder of 7.
So, the quotient of 6 divided by 3 1/5 is 1 7/8.
3 1/5 as an improper fraction is (3 * 5 + 1)/5 = 16/5.
Now we can rewrite the division as: 6 ÷ 16/5.
To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 16/5 is 5/16.
So, 6 ÷ 16/5 = 6 * 5/16.
Multiplying the numerators and denominators, we get: (6 * 5)/(16 * 1) = 30/16.
Now, we simplify the fraction. We can divide both the numerator and denominator by their greatest common divisor, which is 2.
30/16 = (30 ÷ 2)/(16 ÷ 2) = 15/8.
The simplified fraction is 15/8.
To express the fraction as a mixed number, we divide the numerator (15) by the denominator (8). The quotient is 1 with a remainder of 7.
So, the quotient of 6 divided by 3 1/5 is 1 7/8.