Solve (xdiv13/7)+1.7=51/2

$$( x \div 1 \frac { 3 } { 7 } ) + 1.7 = 5 \frac { 1 } { 2 }$$

Solve for x

$$x = \frac{38}{7} = 5\frac{3}{7} \approx 5.428571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$\frac{7}{5}x+3.4=5\times 2+1$$

Multiply 5 and 2 to get 10.

$$\frac{7}{5}x+3.4=10+1$$

Add 10 and 1 to get 11.

$$\frac{7}{5}x+3.4=11$$

Subtract 3.4 from both sides.

$$\frac{7}{5}x=11-3.4$$

Subtract 3.4 from 11 to get 7.6.

$$\frac{7}{5}x=7.6$$

Multiply both sides by \frac{5}{7}, the reciprocal of \frac{7}{5}.

$$x=7.6\times \frac{5}{7}$$

Convert decimal number 7.6 to fraction \frac{76}{10}. Reduce the fraction \frac{76}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{38}{5}\times \frac{5}{7}$$

Multiply \frac{38}{5} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{38\times 5}{5\times 7}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{38}{7}$$