What is the quotient of - 5/9 divided by 1/5 write as a mixed number
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/5 is 5/1.
So, the division problem can be rewritten as: (-5/9) × (5/1).
When multiplying fractions, you simply multiply the numerators together and the denominators together. In this case, (-5 × 5) / (9 × 1) = -25/9.
Now, to write this as a mixed number, you need to express the fraction -25/9 as a whole number and a proper fraction.
To do this, divide the numerator (-25) by the denominator (9) and express the remainder as the numerator of the proper fraction. The quotient is 2 with a remainder of 7. Therefore, the mixed number is 2 7/9.
To find the quotient of -5/9 divided by 1/5 and write it as a mixed number, follow these steps:
Step 1: Invert the divisor (the number we are dividing by).
The reciprocal of 1/5 is 5/1.
Step 2: Multiply the dividend (the number we are dividing) by the reciprocal of the divisor.
(-5/9) * (5/1) = -25/9.
Step 3: Rewrite the resulting fraction as a mixed number.
To write -25/9 as a mixed number, divide the numerator (-25) by the denominator (9).
Step 4: Write the quotient as a mixed number.
-25 ÷ 9 = -2 with a remainder of 7.
So, the quotient of -5/9 divided by 1/5 written as a mixed number is -2 and 7/9.
To find the quotient of two fractions, you need to divide the numerator of the first fraction by the numerator of the second fraction, and then divide the denominator of the first fraction by the denominator of the second fraction. In this case, the quotient of -5/9 divided by 1/5 is calculated as follows:
(-5 ÷ 9) ÷ (1 ÷ 5)
First, you divide -5 by 9, which gives you -5/9. Then, you divide 1 by 5, which equals 1/5. Next, you divide -5/9 by 1/5. To do this, you multiply -5/9 by the reciprocal of 1/5, which is 5/1. Now, you multiply the numerators together and the denominators together:
(-5/9) × (5/1) = (-5 × 5) / (9 × 1) = -25/9
The result, -25/9, is an improper fraction. To write it as a mixed number, you need to convert it.
To convert an improper fraction to a mixed number, divide the numerator by the denominator. The whole number part of the mixed number is the quotient obtained, and the remainder becomes the numerator of the fractional part. The denominator remains the same.
In this case, you divide 25 by 9:
25 ÷ 9 = 2 remainder 7
The quotient is 2, and the remainder is 7. So, the mixed number is:
2 and 7/9