4 1/3÷ −1 1/5
Find the quotient above.
Responses
A 3 11/18
3 and 11 over 18
B −4 1/3
negative 4 and 1 third
C −3 11/18
negative 3 and 11 over 18
D 4 1/3
To solve the division problem 4 1/3 ÷ -1 1/5, we need to convert the mixed numbers to improper fractions and then perform the division.
4 1/3 can be written as 13/3
-1 1/5 can be written as -6/5
Next, we can invert the divisor (-6/5) and multiply it by the dividend (13/3):
(13/3) * (-5/6) = -65/18
Since the result of the division is -65/18, the quotient is option C: -3 11/18.
To divide 4 1/3 by -1 1/5, we need to convert the mixed numbers into improper fractions.
4 1/3 can be written as (4*3 + 1)/3 = 13/3
-1 1/5 can be written as (-1*5 + 1)/5 = -6/5
Now, divide 13/3 by -6/5:
(13/3) ÷ (-6/5) = (13/3) * (-5/6)
To multiply fractions, we multiply the numerators and denominators:
(13 * -5)/(3 * 6) = -65/18
Therefore, the quotient is -65/18, which can be written as -3 11/18.
So, the answer is C) -3 11/18.
To find the quotient of 4 1/3 ÷ (-1 1/5), we can follow these steps:
1. Convert the mixed numbers to improper fractions.
4 1/3 = (3 * 4 + 1) / 3 = 13/3
-1 1/5 = (5 * -1 + 1) / 5 = -6/5
2. Rewrite the division equation as a multiplication equation by taking the reciprocal (flipping) the second fraction.
(13/3) * (-5/6)
3. Multiply the numerators and denominators.
(13 * -5) / (3 * 6) = -65/18
4. Simplify the resulting fraction, if necessary.
-65/18 cannot be simplified any further.
Therefore, the quotient of 4 1/3 ÷ (-1 1/5) is -65/18, which can be written as option C: -3 11/18.