What is 2.3886*10^{-4}(4.227*((x+460)/(1.8))) ?

The solution to 2.3886*10^{-4}(4.227*((x+460)/(1.8))) is (5609229(x+460))/(10000000000)

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simplify 2.388610^{-4}(4.227((x+460)/(1.8)))

simplify

2.3886 \cdot 1 0^{- 4} (4.227 \cdot (\frac{x + 460}{1.8}))

\frac{5609229 ( x + 460 )}{10000000000}

Solution steps

2.3886 \cdot 1 0^{- 4} (4.227 (\frac{x + 460}{1.8}))

1 0^{- 4} = \frac{1}{10000}

= 2.3886 \cdot \frac{1}{10000} \cdot 4.227 \cdot \frac{x + 460}{1.8}

Simplify

\frac{x + 460}{1.8} : \frac{5 ( x + 460 )}{9}

= 2.3886 \cdot \frac{1}{10000} \cdot 4.227 \cdot \frac{5 ( x + 460 )}{9}

Multiply the numbers:

2.3886 \cdot 4.227 = 10.0966122

= 10.0966122 \cdot \frac{1}{10000} \cdot \frac{5 ( x + 460 )}{9}

= \frac{1}{10000} \cdot 10.0966122 \cdot \frac{5 ( x + 460 )}{9}

10.0966122 = \frac{50483061}{5000000}

= \frac{1}{10000} \cdot \frac{50483061}{5000000} \cdot \frac{5 ( x + 460 )}{9}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 50483061 \cdot 5 ( x + 460 )}{10000 \cdot 5000000 \cdot 9}

Multiply the numbers:

10000 \cdot 5000000 \cdot 9 = 450000000000

= \frac{1 \cdot 50483061 \cdot 5 ( x + 460 )}{450000000000}

Multiply the numbers:

1 \cdot 50483061 \cdot 5 = 252415305

= \frac{252415305 ( x + 460 )}{450000000000}

Factor the number:

252415305 = 45 \cdot 5609229

= \frac{45 \cdot 5609229 ( x + 460 )}{450000000000}

Factor the number:

450000000000 = 45 \cdot 10000000000

= \frac{45 \cdot 5609229 ( x + 460 )}{45 \cdot 10000000000}

Cancel the common factor:

45

= \frac{5609229 ( x + 460 )}{10000000000}

3 x (x - 9)^{2} (x - 3)^{2}

3.54 \cdot 1 0^{- 4}

\frac{10 0 ^{5}}{4} (50 + 100)^{- 4}

1.1 \times 1 0^{- 5}

What is 2.3886*10^{-4}(4.227*((x+460)/(1.8))) ?
The solution to 2.3886*10^{-4}(4.227*((x+460)/(1.8))) is (5609229(x+460))/(10000000000)