What is the quotient of −5/9÷1/5? Write the answer as a mixed number.
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.
To find the quotient of two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 1/5 is 5/1.
So, to solve -5/9 ÷ 1/5, you need to multiply -5/9 by 5/1.
(-5/9) * (5/1) = (-5 * 5) / (9 * 1) = -25/9.
To write -25/9 as a mixed number, divide the numerator (-25) by the denominator (9).
-25 ÷ 9 = -2 remainder 7.
Therefore, the quotient of -5/9 ÷ 1/5 as a mixed number is -2 7/9.