What is the quotient of - 5/9 divided by 1/5 write as a mixed number

Answer 1

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.