Solve x2/5-1/24/258=3/4

$$x \frac{ 2 }{ 5 } - \frac{ 1 }{ 2 } \frac{ 4 }{ 25 } 8 = \frac{ 3 }{ 4 }$$

Solve for x

$$x = \frac{139}{40} = 3\frac{19}{40} = 3.475$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} times \frac{4}{25} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{2}{5}-\frac{1\times 4}{2\times 25}\times 8=\frac{3}{4}$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 25}.

$$x\times \frac{2}{5}-\frac{4}{50}\times 8=\frac{3}{4}$$

Reduce the fraction \frac{4}{50} to lowest terms by extracting and canceling out 2.

$$x\times \frac{2}{5}-\frac{2}{25}\times 8=\frac{3}{4}$$

Express \frac{2}{25}\times 8 as a single fraction.

$$x\times \frac{2}{5}-\frac{2\times 8}{25}=\frac{3}{4}$$

Multiply 2 and 8 to get 16.

$$x\times \frac{2}{5}-\frac{16}{25}=\frac{3}{4}$$

Add \frac{16}{25} to both sides.

$$x\times \frac{2}{5}=\frac{3}{4}+\frac{16}{25}$$

Least common multiple of 4 and 25 is 100. Convert \frac{3}{4} and \frac{16}{25} to fractions with denominator 100.

$$x\times \frac{2}{5}=\frac{75}{100}+\frac{64}{100}$$

Since \frac{75}{100} and \frac{64}{100} have the same denominator, add them by adding their numerators.

$$x\times \frac{2}{5}=\frac{75+64}{100}$$

Add 75 and 64 to get 139.

$$x\times \frac{2}{5}=\frac{139}{100}$$

Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.

$$x=\frac{139}{100}\times \frac{5}{2}$$

Multiply \frac{139}{100} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{139\times 5}{100\times 2}$$

Do the multiplications in the fraction \frac{139\times 5}{100\times 2}.

$$x=\frac{695}{200}$$

Reduce the fraction \frac{695}{200} to lowest terms by extracting and canceling out 5.

$$x=\frac{139}{40}$$