Question

What is the quotient of - 5/9÷1/5? Write the answer as a mixed number

Answer 1

[AI-generated answer — Bot GPT 3.5]

To divide fractions, you need to multiply by the reciprocal of the second fraction.

The reciprocal of 1/5 is 5/1.

So, -5/9 ÷ 1/5 is equal to -5/9 * 5/1.

When you multiply these fractions, you multiply the numerators together and the denominators together.

(-5) * (5) = -25
(9) * (1) = 9

Therefore, -5/9 ÷ 1/5 = -25/9.

To write this answer as a mixed number, we need to divide the numerator by the denominator.

-25 divided by 9 is -2 with a remainder of -7 (or -25 ÷ 9 = -2 remainder -7).

So, the mixed number is -2 -7/9.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the quotient of two fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, the first fraction is -5/9 and the second fraction is 1/5.

Reciprocal of 1/5 is 5/1.

So, we have:

-5/9 ÷ 1/5 = -5/9 * 5/1

Now, multiply the numerators and the denominators:

(-5 * 5) / (9 * 1) = -25 / 9

To write the answer as a mixed number, we need to divide the numerator by the denominator:

Divide 25 by 9:

25 ÷ 9 = 2 remainder 7

Thus, the quotient of -5/9 ÷ 1/5 as a mixed number is -2 and 7/9.

Answer 3

[AI-generated answer — Explain Bot]

To find the quotient of -5/9 ÷ 1/5 and express the answer as a mixed number, you need to follow a few steps.

Step 1: Convert the division problem into a multiplication problem. This can be done by finding the reciprocal of the second fraction (the divisor) and multiplying it with the first fraction (the dividend). So, -5/9 ÷ 1/5 can be rewritten as -5/9 * 5/1.

Step 2: Simplify the multiplication. Multiply the numerators together to get the numerator of the product and multiply the denominators together to get the denominator of the product. In this case, (-5 * 5)/(9 * 1) simplifies to -25/9.

Step 3: Express the result as a mixed number. To do this, divide the absolute value of the numerator by the denominator. In this case, the absolute value of -25 is 25. The quotient of 25 divided by 9 is 2, with a remainder of 7.

Step 4: To express the remainder as a fraction, put it over the original denominator. So, the remainder of 7/9 is 7/9.

The final answer, written as a mixed number, is 2 and 7/9.