What is the quotient of −5/9÷1/5 ? Write the answer as a mixed number.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/5 is 5/1.
So, −5/9 ÷ 1/5 is equal to −5/9 × 5/1.
When multiplying fractions, we multiply the numerators together and the denominators together.
The numerator is (-5)(5) = -25.
The denominator is (9)(1) = 9.
Therefore, -5/9 ÷ 1/5 = -25/9.
To write this as a mixed number, we divide the numerator by the denominator.
The quotient is -2 remainder 7.
So, the answer is -2 7/9.