Solve (22/5*14*14-(2*22/7*3.5*3.5)-(3*1)

$$( \frac { 22 } { 5 } \times 14 \times 14 - ( 2 \times \frac { 22 } { 7 } \times 3.5 \times 3.5 ) - ( 3 \times 1 )$$

Evaluate

$$782.4$$

Solution Steps

Express \frac{22}{5}\times 14 as a single fraction.

$$\frac{22\times 14}{5}\times 14-2\times \frac{22}{7}\times 3.5\times 3.5-3\times 1$$

Multiply 22 and 14 to get 308.

$$\frac{308}{5}\times 14-2\times \frac{22}{7}\times 3.5\times 3.5-3\times 1$$

Express \frac{308}{5}\times 14 as a single fraction.

$$\frac{308\times 14}{5}-2\times \frac{22}{7}\times 3.5\times 3.5-3\times 1$$

Multiply 308 and 14 to get 4312.

$$\frac{4312}{5}-2\times \frac{22}{7}\times 3.5\times 3.5-3\times 1$$

Express 2\times \frac{22}{7} as a single fraction.

$$\frac{4312}{5}-\frac{2\times 22}{7}\times 3.5\times 3.5-3\times 1$$

Multiply 2 and 22 to get 44.

$$\frac{4312}{5}-\frac{44}{7}\times 3.5\times 3.5-3\times 1$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{4312}{5}-\frac{44}{7}\times \frac{7}{2}\times 3.5-3\times 1$$

Multiply \frac{44}{7} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4312}{5}-\frac{44\times 7}{7\times 2}\times 3.5-3\times 1$$

Cancel out 7 in both numerator and denominator.

$$\frac{4312}{5}-\frac{44}{2}\times 3.5-3\times 1$$

Divide 44 by 2 to get 22.

$$\frac{4312}{5}-22\times 3.5-3\times 1$$

Multiply 22 and 3.5 to get 77.

$$\frac{4312}{5}-77-3\times 1$$

Convert 77 to fraction \frac{385}{5}.

$$\frac{4312}{5}-\frac{385}{5}-3\times 1$$

Since \frac{4312}{5} and \frac{385}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4312-385}{5}-3\times 1$$

Subtract 385 from 4312 to get 3927.

$$\frac{3927}{5}-3\times 1$$

Multiply 3 and 1 to get 3.

$$\frac{3927}{5}-3$$

Convert 3 to fraction \frac{15}{5}.

$$\frac{3927}{5}-\frac{15}{5}$$

Since \frac{3927}{5} and \frac{15}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3927-15}{5}$$

Subtract 15 from 3927 to get 3912.

$$\frac{3912}{5}$$

Factor

$$\frac{3 \cdot 163 \cdot 2 ^ {3}}{5} = 782\frac{2}{5} = 782.4$$