Question

Question

What is the quotient of −5/9 ÷ 1/5? Write the answer as a mixed number.(1 point)

Answer 1

To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 1/5 is 5/1.

So, -5/9 ÷ 1/5 can be rewritten as -5/9 × 5/1.

Multiplying the numerators gives you -5 × 5 = -25, and multiplying the denominators gives you 9 × 1 = 9.

Therefore, the quotient is -25/9.

To write it as a mixed number, divide the numerator (-25) by the denominator (9). The whole number is the quotient of 25 divided by 9, which is 2.

Subtract the whole number multiplied by the denominator from the numerator: -25 - (2 × 9) = -25 - 18 = -43.

So the final answer in mixed number form is -2 4/9.