Question

Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3) explain and show all steps

Answer 1

Simplification of (-2/5) divided by (8/9) times (2/9) divided by (-1/3) is 0.3

Solution:

Given that,

Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3)

Here "times" represent multiplication

The above sentence can be written mathematically as:

`(-2)/(5) / (8)/(9) * (2)/(9) / (-1)/(3)`

Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal

`\rightarrow (-2)/(5) * (9)/(8) * (2)/(9) * (3)/(-1)`

Cancelling the common terms in numerator and denominator,

`\rightarrow (-2)/(5) * (1)/(8) * (2)/(1) * (3)/(-1)`

Multiplying terms in numerator and denominator,

`\rightarrow (-12)/(-40)`

Negative sign in numerator and denominator cancels each other

`\rightarrow (-12)/(-40) = (12)/(40)`

Reducing to lowest terms we get,

`\rightarrow (12)/(40) = (3)/(10)`

In decimal form we get,

`\rightarrow (3)/(10) = 0.3`

Thus solution to given expression is 0.3