Solve x/2/frac{3{4}}=35/10/frac{615{220}}

$$\frac { \frac { x } { 2 } } { \frac { 3 } { 4 } } = \frac { \frac { 35 } { 10 } } { \frac { 615 } { 220 } }$$

Solve for x

$$x = \frac{77}{41} = 1\frac{36}{41} \approx 1.87804878$$

Steps for Solving Linear Equation

Divide \frac{35}{10} by \frac{615}{220} by multiplying \frac{35}{10} by the reciprocal of \frac{615}{220}.

$$\frac{\frac{x}{2}}{\frac{3}{4}}=\frac{35\times 220}{10\times 615}$$

Cancel out 2\times 5\times 5 in both numerator and denominator.

$$\frac{\frac{x}{2}}{\frac{3}{4}}=\frac{7\times 22}{123}$$

Multiply 7 and 22 to get 154.

$$\frac{\frac{x}{2}}{\frac{3}{4}}=\frac{154}{123}$$

Multiply both sides by \frac{3}{4}.

$$\frac{x}{2}=\frac{154}{123}\times \frac{3}{4}$$

Multiply both sides of the equation by 492, the least common multiple of 2,123,4.

$$246x=616\times \frac{3}{4}$$

Express 616\times \frac{3}{4} as a single fraction.

$$246x=\frac{616\times 3}{4}$$

Multiply 616 and 3 to get 1848.

$$246x=\frac{1848}{4}$$

Divide 1848 by 4 to get 462.

$$246x=462$$

Divide both sides by 246.

$$x=\frac{462}{246}$$

Reduce the fraction \frac{462}{246} to lowest terms by extracting and canceling out 6.

$$x=\frac{77}{41}$$