Solve 4/3*a/5=6

$$\frac { 4 } { 3 } \times \frac { a } { 5 } = 6$$

Solve for a

$$a = \frac{45}{2} = 22\frac{1}{2} = 22.5$$

Steps for Solving Linear Equation

Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.

$$\frac{a}{5}=6\times \frac{3}{4}$$

Express 6\times \frac{3}{4} as a single fraction.

$$\frac{a}{5}=\frac{6\times 3}{4}$$

Multiply 6 and 3 to get 18.

$$\frac{a}{5}=\frac{18}{4}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{a}{5}=\frac{9}{2}$$

Multiply both sides by 5.

$$a=\frac{9}{2}\times 5$$

Express \frac{9}{2}\times 5 as a single fraction.

$$a=\frac{9\times 5}{2}$$

Multiply 9 and 5 to get 45.

$$a=\frac{45}{2}$$