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3 years ago

Find the x value to the nearest tenth

Mathematics

1 answer:

Tasya [4]3 years ago

8 0

Answer:

Step-by-step explanation:

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

spayn [35]

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:

$\frac{-2}{5} \div \frac{8}{9} \times \frac{2}{9} \div \frac{-1}{3}$

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

$\rightarrow \frac{-2}{5} \times \frac{9}{8} \times \frac{2}{9} \times \frac{3}{-1}$

Cancelling the common terms in numerator and denominator,

$\rightarrow \frac{-2}{5} \times \frac{1}{8} \times \frac{2}{1} \times \frac{3}{-1}$

Multiplying terms in numerator and denominator,

$\rightarrow \frac{-12}{-40}$

Negative sign in numerator and denominator cancels each other

$\rightarrow \frac{-12}{-40} = \frac{12}{40}$

Reducing to lowest terms we get,

$\rightarrow \frac{12}{40} = \frac{3}{10}$

In decimal form we get,

$\rightarrow \frac{3}{10} = 0.3$

Thus solution to given expression is 0.3

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