What is the quotient of −5/9÷1/5? Write the answer as a mixed number
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/5 is 5/1.
So, we have:
-5/9 ÷ 1/5
= -5/9 × 5/1
= (-5 × 5)/(9 × 1)
= -25/9
The quotient of -5/9 ÷ 1/5 is -25/9.
To write this as a mixed number, we divide 25 by 9. The quotient is 2 with a remainder of 7.
So, the mixed number is 2 and 7/9.
To find the quotient of -5/9 ÷ 1/5, we can follow these steps:
Step 1: Invert the divisor (the second fraction) and rewrite the division as multiplication:
-5/9 ÷ 1/5 = -5/9 * 5/1
Step 2: Multiply the numerators together and denominators together:
-5 * 5 = -25
9 * 1 = 9
Step 3: Simplify the fraction, if possible.
The fraction -25/9 cannot be simplified further.
Step 4: Write the answer as a mixed number.
Since the fraction -25/9 is negative and the numerator is larger than the denominator, we can convert it to a mixed number.
To do that, divide the numerator (-25) by the denominator (9):
-25 ÷ 9 = -2 with a remainder of -7
So, the quotient of -5/9 ÷ 1/5 in mixed number form is -2 7/9.