Solve 21/2x31/3-51/6x_{6}

$$2 \frac { 1 } { 2 } x 3 \frac { 1 } { 3 } - 5 \frac { 1 } { 6 } x _ { 6 }$$

Evaluate

$$\frac{25x}{3}-\frac{31x_{6}}{6}$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}x\times \frac{3\times 3+1}{3}-\frac{5\times 6+1}{6}x_{6}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}x\times \frac{3\times 3+1}{3}-\frac{5\times 6+1}{6}x_{6}$$

Multiply 3 and 3 to get 9.

$$\frac{5}{2}x\times \frac{9+1}{3}-\frac{5\times 6+1}{6}x_{6}$$

Add 9 and 1 to get 10.

$$\frac{5}{2}x\times \frac{10}{3}-\frac{5\times 6+1}{6}x_{6}$$

Multiply \frac{5}{2} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 10}{2\times 3}x-\frac{5\times 6+1}{6}x_{6}$$

Do the multiplications in the fraction \frac{5\times 10}{2\times 3}.

$$\frac{50}{6}x-\frac{5\times 6+1}{6}x_{6}$$

Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.

$$\frac{25}{3}x-\frac{5\times 6+1}{6}x_{6}$$

Multiply 5 and 6 to get 30.

$$\frac{25}{3}x-\frac{30+1}{6}x_{6}$$

Add 30 and 1 to get 31.

$$\frac{25}{3}x-\frac{31}{6}x_{6}$$

Expand

$$\frac{25x}{3}-\frac{31x_{6}}{6}$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}x\times \frac{3\times 3+1}{3}-\frac{5\times 6+1}{6}x_{6}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}x\times \frac{3\times 3+1}{3}-\frac{5\times 6+1}{6}x_{6}$$

Multiply 3 and 3 to get 9.

$$\frac{5}{2}x\times \frac{9+1}{3}-\frac{5\times 6+1}{6}x_{6}$$

Add 9 and 1 to get 10.

$$\frac{5}{2}x\times \frac{10}{3}-\frac{5\times 6+1}{6}x_{6}$$

Multiply \frac{5}{2} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 10}{2\times 3}x-\frac{5\times 6+1}{6}x_{6}$$

Do the multiplications in the fraction \frac{5\times 10}{2\times 3}.

$$\frac{50}{6}x-\frac{5\times 6+1}{6}x_{6}$$

Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.

$$\frac{25}{3}x-\frac{5\times 6+1}{6}x_{6}$$

Multiply 5 and 6 to get 30.

$$\frac{25}{3}x-\frac{30+1}{6}x_{6}$$

Add 30 and 1 to get 31.

$$\frac{25}{3}x-\frac{31}{6}x_{6}$$