Solve 3-5/1(6/23)/3

$$\frac { 3 - \frac { 5 } { 1 } ( \frac { 6 } { 23 } ) } { 3 }$$

Evaluate

$$\frac{13}{23}\approx 0.565217391$$

Solution Steps

Anything divided by one gives itself.

$$\frac{3-5\times \frac{6}{23}}{3}$$

Express 5\times \frac{6}{23} as a single fraction.

$$\frac{3-\frac{5\times 6}{23}}{3}$$

Multiply 5 and 6 to get 30.

$$\frac{3-\frac{30}{23}}{3}$$

Convert 3 to fraction \frac{69}{23}.

$$\frac{\frac{69}{23}-\frac{30}{23}}{3}$$

Since \frac{69}{23} and \frac{30}{23} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{69-30}{23}}{3}$$

Subtract 30 from 69 to get 39.

$$\frac{\frac{39}{23}}{3}$$

Express \frac{\frac{39}{23}}{3} as a single fraction.

$$\frac{39}{23\times 3}$$

Multiply 23 and 3 to get 69.

$$\frac{39}{69}$$

Reduce the fraction \frac{39}{69} to lowest terms by extracting and canceling out 3.

$$\frac{13}{23}$$

Factor

$$\frac{13}{23} = 0.5652173913043478$$