Solve 1513/16=101/4*x

$$151 \frac{ 3 }{ 16 } = 10 \frac{ 1 }{ 4 } \times x$$

Solve for x

$$x = \frac{59}{4} = 14\frac{3}{4} = 14.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 16, the least common multiple of 16,4.

$$151\times 16+3=4\left(10\times 4+1\right)x$$

Multiply 151 and 16 to get 2416.

$$2416+3=4\left(10\times 4+1\right)x$$

Add 2416 and 3 to get 2419.

$$2419=4\left(10\times 4+1\right)x$$

Multiply 10 and 4 to get 40.

$$2419=4\left(40+1\right)x$$

Add 40 and 1 to get 41.

$$2419=4\times 41x$$

Multiply 4 and 41 to get 164.

$$2419=164x$$

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

$$164x=2419$$

Divide both sides by 164.

$$x=\frac{2419}{164}$$

Reduce the fraction \frac{2419}{164} to lowest terms by extracting and canceling out 41.

$$x=\frac{59}{4}$$