Solve 6=4/15(5)+b

$$6 = \frac { 4 } { 15 } ( 5 ) + b$$

Solve for b

$$b = \frac{14}{3} = 4\frac{2}{3} \approx 4.666666667$$

Steps for Solving Linear Equation

Express \frac{4}{15}\times 5 as a single fraction.

$$6=\frac{4\times 5}{15}+b$$

Multiply 4 and 5 to get 20.

$$6=\frac{20}{15}+b$$

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

$$6=\frac{4}{3}+b$$

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

$$\frac{4}{3}+b=6$$

Subtract \frac{4}{3} from both sides.

$$b=6-\frac{4}{3}$$

Convert 6 to fraction \frac{18}{3}.

$$b=\frac{18}{3}-\frac{4}{3}$$

Since \frac{18}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$b=\frac{18-4}{3}$$

Subtract 4 from 18 to get 14.

$$b=\frac{14}{3}$$