What is the quotient of −5/9÷1/5? Write the answer as a mixed number.

Answer 1

To divide fractions, we multiply the dividend by the reciprocal of the divisor. In this case, we have:
(-5/9) ÷ (1/5) = (-5/9) × (5/1)

Multiplying the numerators (-5 × 5) and denominators (9 × 1), we get:
-25/9

Since the numerator is greater than the denominator, we can express this quotient as a mixed number by dividing the numerator (-25) by the denominator (9):
-25 ÷ 9 = -2 remainder 7

Therefore, the mixed number form of the quotient is -2 7/9.