What is the quotient of -5/9÷1/5. Write as a mixed number
To find the quotient, we have to divide -5/9 by 1/5.
When dividing fractions, we invert the divisor (the second fraction) and multiply.
So, -5/9 ÷ 1/5 = -5/9 * 5/1.
When multiplying fractions, we multiply the numerators together and the denominators together.
So, -5/9 * 5/1 = (-5 * 5) / (9 * 1) = -25 / 9.
To write this as a mixed number, we divide the numerator (-25) by the denominator (9). The quotient is -2 with a remainder of 7.
So, the mixed number is -2 7/9.
To find the quotient of -5/9 ÷ 1/5, we can use the rule of division by reciprocals.
Step 1: Flip the second fraction (the divisor) to its reciprocal.
Reciprocal of 1/5 = 5/1
Step 2: Multiply the first fraction (the dividend) by the reciprocal of the second fraction.
-5/9 x 5/1
Step 3: Multiply the numerators together, and the denominators together.
(-5 x 5) / (9 x 1) = -25/9
Step 4: Write the result as a mixed number.
To do this, divide the numerator (-25) by the denominator (9) using long division.
_____2_________
9 | -25
-18
-----
-7
The quotient is -7 with a remainder of 2.
Therefore, the mixed number form of -25/9 is -7 2/9.
To find the quotient of -5/9 ÷ 1/5 and then write it as a mixed number, you need to follow these steps:
Step 1: Invert the divisor
To divide fractions, you need to invert the second fraction (divisor) and turn the division into multiplication. So, -5/9 ÷ 1/5 would become -5/9 * 5/1.
Step 2: Multiply the fractions
Now, you multiply the numerators together to get the new numerator and the denominators together for the new denominator. -5/9 * 5/1 equals to (-5 * 5) / (9 * 1) = -25/9.
Step 3: Convert to a mixed number
To convert this improper fraction (-25/9) to a mixed number, you need to divide the numerator (-25) by the denominator (9). The quotient will be the whole number, and the remainder will be the numerator of the fractional part.
Dividing 25 by 9 gives a quotient of 2 and a remainder of 7, so the mixed number is 2 7/9.
Therefore, the quotient of -5/9 ÷ 1/5, written as a mixed number, is 2 7/9.