Solve (65/6-21/6)*4

$$(6 \frac{ 5 }{ 6 } -2 \frac{ 1 }{ 6 } ) \times 4$$

Evaluate

$$\frac{56}{3}\approx 18.666666667$$

Solution Steps

Remove the parentheses around 6.

$$\left(\frac{6\times 6+5}{6}-\frac{2\left(6\right)+1}{6}\right)\times 4$$

Multiply 6 and 6 to get 36.

$$\left(\frac{36+5}{6}-\frac{2\left(6\right)+1}{6}\right)\times 4$$

Add 36 and 5 to get 41.

$$\left(\frac{41}{6}-\frac{2\left(6\right)+1}{6}\right)\times 4$$

Remove the parentheses around 6.

$$\left(\frac{41}{6}-\frac{2\times 6+1}{6}\right)\times 4$$

Multiply 2 and 6 to get 12.

$$\left(\frac{41}{6}-\frac{12+1}{6}\right)\times 4$$

Add 12 and 1 to get 13.

$$\left(\frac{41}{6}-\frac{13}{6}\right)\times 4$$

Since \frac{41}{6} and \frac{13}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{41-13}{6}\times 4$$

Subtract 13 from 41 to get 28.

$$\frac{28}{6}\times 4$$

Reduce the fraction \frac{28}{6} to lowest terms by extracting and canceling out 2.

$$\frac{14}{3}\times 4$$

Express \frac{14}{3}\times 4 as a single fraction.

$$\frac{14\times 4}{3}$$

Multiply 14 and 4 to get 56.

$$\frac{56}{3}$$