Question

What is -5/7 ÷(−1 1/8 )=what is

Answer 1

The result of
`\(-(5)/(7) / (-1(1)/(8))\`) is
`\((40)/(63)\).`

Step-by-step explanation:

To solve the division problem, we can first convert the mixed number
`\(-1(1)/(8)\)`to an improper fraction. The conversion involves multiplying the whole number (-1) by the denominator (8) and adding the numerator (1), then placing the result over the original denominator.

This yields
`\(-(9)/(8)\)`. Now, we can rewrite the division as multiplication by the reciprocal:

`\[ -(5)/(7) / (-1(1)/(8)) = -(5)/(7) * \left(-(8)/(9)\right) \]`

Multiplying the numerators and denominators gives us
`\((40)/(63)\).`

Understanding the principles of working with fractions, converting mixed numbers to improper fractions, and applying the reciprocal in division are essential for accurate mathematical calculations.

The result
`\((40)/(63)\)` represents the quotient of
`\(-(5)/(7)\) divided by \(-1(1)/(8)\)` and provides a clear and precise answer to the given mathematical expression. Additionally, expressing the result as a fraction ensures a more exact representation of the solution compared to a decimal or mixed number.