Solve frac{{H}_{1}}{95.108}=333^2/311.08

$$\frac{ { H }_{ 1 } }{ 95.108 } = \frac{ { 333 }^{ 2 } }{ 311.08 }$$

Solve for H_1

$$H_{1} = \frac{2636607753}{77770} = 33902\frac{49213}{77770} \approx 33902.632801852$$

Steps for Solving Linear Equation

Calculate 333 to the power of 2 and get 110889.

$$\frac{H_{1}}{95.108}=\frac{110889}{311.08}$$

Expand \frac{110889}{311.08} by multiplying both numerator and the denominator by 100.

$$\frac{H_{1}}{95.108}=\frac{11088900}{31108}$$

Reduce the fraction \frac{11088900}{31108} to lowest terms by extracting and canceling out 4.

$$\frac{H_{1}}{95.108}=\frac{2772225}{7777}$$

Multiply both sides by 95.108.

$$H_{1}=\frac{2772225}{7777}\times 95.108$$

Convert decimal number 95.108 to fraction \frac{95108}{1000}. Reduce the fraction \frac{95108}{1000} to lowest terms by extracting and canceling out 4.

$$H_{1}=\frac{2772225}{7777}\times \frac{23777}{250}$$

Multiply \frac{2772225}{7777} times \frac{23777}{250} by multiplying numerator times numerator and denominator times denominator.

$$H_{1}=\frac{2772225\times 23777}{7777\times 250}$$

Do the multiplications in the fraction \frac{2772225\times 23777}{7777\times 250}.

$$H_{1}=\frac{65915193825}{1944250}$$

Reduce the fraction \frac{65915193825}{1944250} to lowest terms by extracting and canceling out 25.

$$H_{1}=\frac{2636607753}{77770}$$