Respuesta :
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:
[tex]\frac{-2}{5} \div \frac{8}{9} \times \frac{2}{9} \div \frac{-1}{3}[/tex]
Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal
[tex]\rightarrow \frac{-2}{5} \times \frac{9}{8} \times \frac{2}{9} \times \frac{3}{-1}[/tex]
Cancelling the common terms in numerator and denominator,
[tex]\rightarrow \frac{-2}{5} \times \frac{1}{8} \times \frac{2}{1} \times \frac{3}{-1}[/tex]
Multiplying terms in numerator and denominator,
[tex]\rightarrow \frac{-12}{-40}[/tex]
Negative sign in numerator and denominator cancels each other
[tex]\rightarrow \frac{-12}{-40} = \frac{12}{40}[/tex]
Reducing to lowest terms we get,
[tex]\rightarrow \frac{12}{40} = \frac{3}{10}[/tex]
In decimal form we get,
[tex]\rightarrow \frac{3}{10} = 0.3[/tex]
Thus solution to given expression is 0.3
