Solve 21/2/3frac{1{3}}=s/4frac{1{4}}

$$\frac { 2 \frac { 1 } { 2 } } { 3 \frac { 1 } { 3 } } = \frac { s } { 4 \frac { 1 } { 4 } }$$

Solve for s

$$s = \frac{51}{16} = 3\frac{3}{16} = 3.1875$$

Steps for Solving Linear Equation

Divide \frac{2\times 2+1}{2} by \frac{3\times 3+1}{3} by multiplying \frac{2\times 2+1}{2} by the reciprocal of \frac{3\times 3+1}{3}.

$$\frac{\left(2\times 2+1\right)\times 3}{2\left(3\times 3+1\right)}=\frac{s}{\frac{4\times 4+1}{4}}$$

Multiply 2 and 2 to get 4.

$$\frac{\left(4+1\right)\times 3}{2\left(3\times 3+1\right)}=\frac{s}{\frac{4\times 4+1}{4}}$$

Add 4 and 1 to get 5.

$$\frac{5\times 3}{2\left(3\times 3+1\right)}=\frac{s}{\frac{4\times 4+1}{4}}$$

Multiply 5 and 3 to get 15.

$$\frac{15}{2\left(3\times 3+1\right)}=\frac{s}{\frac{4\times 4+1}{4}}$$

Multiply 3 and 3 to get 9.

$$\frac{15}{2\left(9+1\right)}=\frac{s}{\frac{4\times 4+1}{4}}$$

Add 9 and 1 to get 10.

$$\frac{15}{2\times 10}=\frac{s}{\frac{4\times 4+1}{4}}$$

Multiply 2 and 10 to get 20.

$$\frac{15}{20}=\frac{s}{\frac{4\times 4+1}{4}}$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

$$\frac{3}{4}=\frac{s}{\frac{4\times 4+1}{4}}$$

Divide s by \frac{4\times 4+1}{4} by multiplying s by the reciprocal of \frac{4\times 4+1}{4}.

$$\frac{3}{4}=\frac{s\times 4}{4\times 4+1}$$

Multiply 4 and 4 to get 16.

$$\frac{3}{4}=\frac{s\times 4}{16+1}$$

Add 16 and 1 to get 17.

$$\frac{3}{4}=\frac{s\times 4}{17}$$

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

$$\frac{s\times 4}{17}=\frac{3}{4}$$

Multiply both sides by 17.

$$s\times 4=\frac{3}{4}\times 17$$

Express \frac{3}{4}\times 17 as a single fraction.

$$s\times 4=\frac{3\times 17}{4}$$

Multiply 3 and 17 to get 51.

$$s\times 4=\frac{51}{4}$$

Divide both sides by 4.

$$s=\frac{\frac{51}{4}}{4}$$

Express \frac{\frac{51}{4}}{4} as a single fraction.

$$s=\frac{51}{4\times 4}$$

Multiply 4 and 4 to get 16.

$$s=\frac{51}{16}$$