Solve 1271/5/4600=x/100

$$\frac { 127 \frac { 1 } { 5 } } { 4600 } = \frac { x } { 100 }$$

Solve for x

$$x = \frac{318}{115} = 2\frac{88}{115} \approx 2.765217391$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4600, the least common multiple of 4600,100.

$$\frac{127\times 5+1}{5}=46x$$

Multiply 127 and 5 to get 635.

$$\frac{635+1}{5}=46x$$

Add 635 and 1 to get 636.

$$\frac{636}{5}=46x$$

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

$$46x=\frac{636}{5}$$

Divide both sides by 46.

$$x=\frac{\frac{636}{5}}{46}$$

Express \frac{\frac{636}{5}}{46} as a single fraction.

$$x=\frac{636}{5\times 46}$$

Multiply 5 and 46 to get 230.

$$x=\frac{636}{230}$$

Reduce the fraction \frac{636}{230} to lowest terms by extracting and canceling out 2.

$$x=\frac{318}{115}$$