Solve (23/18-6/5)x=11.2

$$( \frac{ 23 }{ 18 } - \frac{ 6 }{ 5 } )x=11.2$$

Solve for x

$$x=144$$

Steps for Solving Linear Equation

Least common multiple of 18 and 5 is 90. Convert \frac{23}{18} and \frac{6}{5} to fractions with denominator 90.

$$\left(\frac{115}{90}-\frac{108}{90}\right)x=11.2$$

Since \frac{115}{90} and \frac{108}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{115-108}{90}x=11.2$$

Subtract 108 from 115 to get 7.

$$\frac{7}{90}x=11.2$$

Multiply both sides by \frac{90}{7}, the reciprocal of \frac{7}{90}.

$$x=11.2\times \frac{90}{7}$$

Convert decimal number 11.2 to fraction \frac{112}{10}. Reduce the fraction \frac{112}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{56}{5}\times \frac{90}{7}$$

Multiply \frac{56}{5} times \frac{90}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{56\times 90}{5\times 7}$$

Do the multiplications in the fraction \frac{56\times 90}{5\times 7}.

$$x=\frac{5040}{35}$$

Divide 5040 by 35 to get 144.

$$x=144$$