What is the quotient of -5/9 divided by 1/5? Writer the answer as a mixed number
To divide -5/9 by 1/5, 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 = -5/9 × 5/1
Next, multiply the numerators and denominators:
-5 × 5 = -25
9 × 1 = 9
Therefore, the quotient is -25/9.
To write this as a mixed number, we divide the numerator by the denominator:
-25 ÷ 9 = -2 remainder 7
Hence, the mixed number is -2 7/9.
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 divided by 1/5 can be written as -5/9 multiplied by 5/1.
Multiplying -5/9 by 5/1 gives us (-5*5)/(9*1) = -25/9.
To write the answer as a mixed number, we divide the numerator (-25) by the denominator (9).
Dividing -25 by 9, we get a quotient of -2 with a remainder of -7.
So the quotient of -5/9 divided by 1/5, written as a mixed number, is -2 7/9.