Solve 3/5(x+4/3)=1.04

$$\frac{ 3 }{ 5 } (x+ \frac{ 4 }{ 3 } )=1.04$$

Solve for x

$$x=0.4$$

Steps for Solving Linear Equation

Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.

$$x+\frac{4}{3}=1.04\times \frac{5}{3}$$

Convert decimal number 1.04 to fraction \frac{104}{100}. Reduce the fraction \frac{104}{100} to lowest terms by extracting and canceling out 4.

$$x+\frac{4}{3}=\frac{26}{25}\times \frac{5}{3}$$

Multiply \frac{26}{25} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$x+\frac{4}{3}=\frac{26\times 5}{25\times 3}$$

Do the multiplications in the fraction \frac{26\times 5}{25\times 3}.

$$x+\frac{4}{3}=\frac{130}{75}$$

Reduce the fraction \frac{130}{75} to lowest terms by extracting and canceling out 5.

$$x+\frac{4}{3}=\frac{26}{15}$$

Subtract \frac{4}{3} from both sides.

$$x=\frac{26}{15}-\frac{4}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{26}{15} and \frac{4}{3} to fractions with denominator 15.

$$x=\frac{26}{15}-\frac{20}{15}$$

Since \frac{26}{15} and \frac{20}{15} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{26-20}{15}$$

Subtract 20 from 26 to get 6.

$$x=\frac{6}{15}$$

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{2}{5}$$