Solve x*22/7*0.875^2*0.2=5.5*10*3.5

$$x \times \frac{ 22 }{ 7 } \times { 0.875 }^{ 2 } \times 0.2=5.5 \times 10 \times 3.5$$

Solve for x

$$x=400$$

Steps for Solving Linear Equation

Calculate 0.875 to the power of 2 and get 0.765625.

$$x\times \frac{22}{7}\times 0.765625\times 0.2=5.5\times 10\times 3.5$$

Convert decimal number 0.765625 to fraction \frac{765625}{1000000}. Reduce the fraction \frac{765625}{1000000} to lowest terms by extracting and canceling out 15625.

$$x\times \frac{22}{7}\times \frac{49}{64}\times 0.2=5.5\times 10\times 3.5$$

Multiply \frac{22}{7} times \frac{49}{64} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{22\times 49}{7\times 64}\times 0.2=5.5\times 10\times 3.5$$

Do the multiplications in the fraction \frac{22\times 49}{7\times 64}.

$$x\times \frac{1078}{448}\times 0.2=5.5\times 10\times 3.5$$

Reduce the fraction \frac{1078}{448} to lowest terms by extracting and canceling out 14.

$$x\times \frac{77}{32}\times 0.2=5.5\times 10\times 3.5$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$x\times \frac{77}{32}\times \frac{1}{5}=5.5\times 10\times 3.5$$

Multiply \frac{77}{32} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{77\times 1}{32\times 5}=5.5\times 10\times 3.5$$

Do the multiplications in the fraction \frac{77\times 1}{32\times 5}.

$$x\times \frac{77}{160}=5.5\times 10\times 3.5$$

Multiply 5.5 and 10 to get 55.

$$x\times \frac{77}{160}=55\times 3.5$$

Multiply 55 and 3.5 to get 192.5.

$$x\times \frac{77}{160}=192.5$$

Multiply both sides by \frac{160}{77}, the reciprocal of \frac{77}{160}.

$$x=192.5\times \frac{160}{77}$$

Convert decimal number 192.5 to fraction \frac{1925}{10}. Reduce the fraction \frac{1925}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{385}{2}\times \frac{160}{77}$$

Multiply \frac{385}{2} times \frac{160}{77} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{385\times 160}{2\times 77}$$

Do the multiplications in the fraction \frac{385\times 160}{2\times 77}.

$$x=\frac{61600}{154}$$

Divide 61600 by 154 to get 400.

$$x=400$$