Solve 4/3*22/7*4.2*4-2=22/7*6*6*h

$$\frac { 4 } { 3 } \times \frac { 22 } { 7 } \times 4.2 \times 4 - 2 = \frac { 22 } { 7 } \times 6 \times 6 \times h$$

Solve for h

$$h=\frac{133}{220}\approx 0.604545455$$

Steps for Solving Linear Equation

Multiply \frac{4}{3} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 22}{3\times 7}\times 4.2\times 4-2=\frac{22}{7}\times 6\times 6h$$

Do the multiplications in the fraction \frac{4\times 22}{3\times 7}.

$$\frac{88}{21}\times 4.2\times 4-2=\frac{22}{7}\times 6\times 6h$$

Convert decimal number 4.2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$\frac{88}{21}\times \frac{21}{5}\times 4-2=\frac{22}{7}\times 6\times 6h$$

Multiply \frac{88}{21} times \frac{21}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{88\times 21}{21\times 5}\times 4-2=\frac{22}{7}\times 6\times 6h$$

Cancel out 21 in both numerator and denominator.

$$\frac{88}{5}\times 4-2=\frac{22}{7}\times 6\times 6h$$

Express \frac{88}{5}\times 4 as a single fraction.

$$\frac{88\times 4}{5}-2=\frac{22}{7}\times 6\times 6h$$

Multiply 88 and 4 to get 352.

$$\frac{352}{5}-2=\frac{22}{7}\times 6\times 6h$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{352}{5}-\frac{10}{5}=\frac{22}{7}\times 6\times 6h$$

Since \frac{352}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{352-10}{5}=\frac{22}{7}\times 6\times 6h$$

Subtract 10 from 352 to get 342.

$$\frac{342}{5}=\frac{22}{7}\times 6\times 6h$$

Express \frac{22}{7}\times 6 as a single fraction.

$$\frac{342}{5}=\frac{22\times 6}{7}\times 6h$$

Multiply 22 and 6 to get 132.

$$\frac{342}{5}=\frac{132}{7}\times 6h$$

Express \frac{132}{7}\times 6 as a single fraction.

$$\frac{342}{5}=\frac{132\times 6}{7}h$$

Multiply 132 and 6 to get 792.

$$\frac{342}{5}=\frac{792}{7}h$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{792}{7}h=\frac{342}{5}$$

Multiply both sides by \frac{7}{792}, the reciprocal of \frac{792}{7}.

$$h=\frac{342}{5}\times \frac{7}{792}$$

Multiply \frac{342}{5} times \frac{7}{792} by multiplying numerator times numerator and denominator times denominator.

$$h=\frac{342\times 7}{5\times 792}$$

Do the multiplications in the fraction \frac{342\times 7}{5\times 792}.

$$h=\frac{2394}{3960}$$

Reduce the fraction \frac{2394}{3960} to lowest terms by extracting and canceling out 18.

$$h=\frac{133}{220}$$