Solve 6-71/2(2-11/3)

$$6 - 7 \frac { 1 } { 2 } ( 2 - 1 \frac { 1 } { 3 } )$$

Evaluate

$$1$$

Solution Steps

Multiply 7 and 2 to get 14.

$$6-\frac{14+1}{2}\left(2-\frac{1\times 3+1}{3}\right)$$

Add 14 and 1 to get 15.

$$6-\frac{15}{2}\left(2-\frac{1\times 3+1}{3}\right)$$

Multiply 1 and 3 to get 3.

$$6-\frac{15}{2}\left(2-\frac{3+1}{3}\right)$$

Add 3 and 1 to get 4.

$$6-\frac{15}{2}\left(2-\frac{4}{3}\right)$$

Convert 2 to fraction \frac{6}{3}.

$$6-\frac{15}{2}\left(\frac{6}{3}-\frac{4}{3}\right)$$

Since \frac{6}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$6-\frac{15}{2}\times \frac{6-4}{3}$$

Subtract 4 from 6 to get 2.

$$6-\frac{15}{2}\times \frac{2}{3}$$

Multiply \frac{15}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$6-\frac{15\times 2}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

$$6-\frac{15}{3}$$

Divide 15 by 3 to get 5.

$$6-5$$

Subtract 5 from 6 to get 1.

$$1$$

Factor

$$1$$