Solve [2-(33/4*4/3-12/5div6/10)]_{1}divfrac{1}{5}

$$[ 2 - ( 3 \frac { 3 } { 4 } \times \frac { 4 } { 3 } - \frac { 12 } { 5 } \div \frac { 6 } { 10 } ) ] _ { 1 } \div \frac { 1 } { 5 }$$

Evaluate

$$1$$

Solution Steps

Multiply 3 and 4 to get 12.

$$2-\left(\frac{12+3}{4}\times \frac{4}{3}-\frac{\frac{12}{5}}{\frac{6}{10}}\right)$$

Add 12 and 3 to get 15.

$$2-\left(\frac{15}{4}\times \frac{4}{3}-\frac{\frac{12}{5}}{\frac{6}{10}}\right)$$

Multiply \frac{15}{4} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$2-\left(\frac{15\times 4}{4\times 3}-\frac{\frac{12}{5}}{\frac{6}{10}}\right)$$

Cancel out 4 in both numerator and denominator.

$$2-\left(\frac{15}{3}-\frac{\frac{12}{5}}{\frac{6}{10}}\right)$$

Divide 15 by 3 to get 5.

$$2-\left(5-\frac{\frac{12}{5}}{\frac{6}{10}}\right)$$

Divide \frac{12}{5} by \frac{6}{10} by multiplying \frac{12}{5} by the reciprocal of \frac{6}{10}.

$$2-\left(5-\frac{12\times 10}{5\times 6}\right)$$

Cancel out 5\times 6 in both numerator and denominator.

$$2-\left(5-2\times 2\right)$$

Multiply 2 and 2 to get 4.

$$2-\left(5-4\right)$$

Subtract 4 from 5 to get 1.

$$2-1$$

Subtract 1 from 2 to get 1.

$$1$$

Factor

$$1$$