Solve 552/5504*x*(100div515252568854/25555554

$$\frac{ 552 }{ 5504 \times x } \times (100 \div 515 \frac{ 252568854 }{ 25555554 }$$

Evaluate

$$\frac{1613634345}{8384114716x}$$

Solution Steps

Reduce the fraction \frac{100}{515} to lowest terms by extracting and canceling out 5.

$$\frac{552}{5504x}\times \frac{20}{103}\times \frac{252568854}{25555554}$$

Reduce the fraction \frac{252568854}{25555554} to lowest terms by extracting and canceling out 54.

$$\frac{552}{5504x}\times \frac{20}{103}\times \frac{4677201}{473251}$$

Multiply \frac{20}{103} times \frac{4677201}{473251} by multiplying numerator times numerator and denominator times denominator.

$$\frac{552}{5504x}\times \frac{20\times 4677201}{103\times 473251}$$

Do the multiplications in the fraction \frac{20\times 4677201}{103\times 473251}.

$$\frac{552}{5504x}\times \frac{93544020}{48744853}$$

Multiply \frac{552}{5504x} times \frac{93544020}{48744853} by multiplying numerator times numerator and denominator times denominator.

$$\frac{552\times 93544020}{5504x\times 48744853}$$

Cancel out 4\times 8 in both numerator and denominator.

$$\frac{69\times 23386005}{172\times 48744853x}$$

Multiply 69 and 23386005 to get 1613634345.

$$\frac{1613634345}{172\times 48744853x}$$

Multiply 172 and 48744853 to get 8384114716.

$$\frac{1613634345}{8384114716x}$$

Differentiate w.r.t. x

$$-\frac{1613634345}{8384114716x^{2}}$$