Solve 4/3*22/7*42*4-2=22/7*6*6*h

$$\frac { 4 } { 3 } \times \frac { 22 } { 7 } \times 42 \times 4 - 2 = \frac { 22 } { 7 } \times 6 \times 6 \times h$$

Solve for h

$$h = \frac{273}{44} = 6\frac{9}{44} \approx 6.204545455$$

Steps for Solving Linear Equation

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

$$\frac{4\times 22}{3\times 7}\times 42\times 4-2=\frac{22}{7}\times 6\times 6h$$

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

$$\frac{88}{21}\times 42\times 4-2=\frac{22}{7}\times 6\times 6h$$

Express \frac{88}{21}\times 42 as a single fraction.

$$\frac{88\times 42}{21}\times 4-2=\frac{22}{7}\times 6\times 6h$$

Multiply 88 and 42 to get 3696.

$$\frac{3696}{21}\times 4-2=\frac{22}{7}\times 6\times 6h$$

Divide 3696 by 21 to get 176.

$$176\times 4-2=\frac{22}{7}\times 6\times 6h$$

Multiply 176 and 4 to get 704.

$$704-2=\frac{22}{7}\times 6\times 6h$$

Subtract 2 from 704 to get 702.

$$702=\frac{22}{7}\times 6\times 6h$$

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

$$702=\frac{22\times 6}{7}\times 6h$$

Multiply 22 and 6 to get 132.

$$702=\frac{132}{7}\times 6h$$

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

$$702=\frac{132\times 6}{7}h$$

Multiply 132 and 6 to get 792.

$$702=\frac{792}{7}h$$

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

$$\frac{792}{7}h=702$$

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

$$h=702\times \frac{7}{792}$$

Express 702\times \frac{7}{792} as a single fraction.

$$h=\frac{702\times 7}{792}$$

Multiply 702 and 7 to get 4914.

$$h=\frac{4914}{792}$$

Reduce the fraction \frac{4914}{792} to lowest terms by extracting and canceling out 18.

$$h=\frac{273}{44}$$