What is the quotient of −5/9÷1/5? Write the answer as a mixed number.(1 point)
To divide fractions, we 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.
Multiplying these fractions, we get (-5*5)/(9*1) = -25/9.
To write this answer as a mixed number, we divide the numerator (-25) by the denominator (9).
25 ÷ 9 is equal to 2 with a remainder of 7.
Hence, the quotient of -5/9 ÷ 1/5 is -2 7/9.
To divide fractions, we can use the reciprocal of the second fraction and then multiply the two fractions.
Reciprocal of 1/5: 5/1
Now, multiply:
-5/9 * 5/1
Multiply the numerators: -5 * 5 = -25
Multiply the denominators: 9 * 1 = 9
So, the answer is -25/9.
To write this as a mixed number, we need to divide the numerator by the denominator:
-25 ÷ 9 = -2 remainder 7
The quotient is -2 remainder 7/9.
So, the quotient of -5/9 ÷ 1/5 as a mixed number is -2 7/9.