What is the quotient of −5/9÷1/5? Write the answer as a mixed number
To find the quotient of two fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/5 is 5/1.
So, we can rewrite the expression as (-5/9) * (5/1).
When we multiply two fractions, we multiply the numerators together and the denominators together.
(-5/9) * (5/1) = (-5 * 5) / (9 * 1) = (-25/9)
To write the answer as a mixed number, we need to express the fraction part as a proper fraction.
Since the numerator (-25) is larger than the denominator (9), we have an improper fraction.
To convert it to a mixed number, we divide the numerator by the denominator and write the result as the whole number part and the remaining as the proper fraction.
-25 divided by 9 is -2 remainder -7.
So, the mixed number representation is -2 7/9.
To find the quotient of -5/9 ÷ 1/5, we need to divide -5/9 by 1/5.
To divide fractions, we need to invert the second fraction (the divisor) and multiply it by the first fraction (the dividend).
So, we have (-5/9) * (5/1).
Multiplying the numerators and denominators, we get (-5*5)/(9*1) = -25/9.
Now, let's convert this improper fraction to a mixed number.
To do that, we divide the numerator (25) by the denominator (9).
25 ÷ 9 = 2 with a remainder of 7.
Therefore, the quotient -25/9 is equal to -2 and 7/9 as a mixed number.
To find the quotient of two fractions, we need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction. So, let's solve it step by step:
Step 1: We have -5/9 ÷ 1/5
Step 2: To divide fractions, we multiply by the reciprocal of the divisor. In other words, we keep the first fraction as it is and multiply it by the reciprocal of the second fraction. The reciprocal of a fraction a/b is b/a.
So, -5/9 ÷ 1/5 is equivalent to -5/9 * 5/1.
Step 3: Now, multiply the numerators and the denominators.
(-5 * 5) / (9 * 1) = -25/9.
Step 4: To write the answer as a mixed number, we need to convert the improper fraction -25/9 to a mixed number.
To do that, we divide the numerator (-25) by the denominator (9).
Divide 25 by 9: 25 ÷ 9 = 2 remainder 7.
Therefore, the quotient -25/9 can be written as the mixed number -2 7/9.