Solve {l}{+(1*1-1*1*3.14*1/4)}{+2*2-2*2*3.14*1/4}

$$\left. \begin{array} { l } { + ( 1 \times 1 - 1 \times 1 \times 3.14 \times \frac { 1 } { 4 } ) } \\ { + 2 \times 2 - 2 \times 2 \times 3.14 \times \frac { 1 } { 4 } } \end{array} \right.$$

Evaluate

$$1.075$$

Solution Steps

Multiply 1 and 1 to get 1.

$$1-1\times 1\times 3.14\times \frac{1}{4}+2\times 2-2\times 2\times 3.14\times \frac{1}{4}$$

Multiply 1 and 1 to get 1.

$$1-3.14\times \frac{1}{4}+2\times 2-2\times 2\times 3.14\times \frac{1}{4}$$

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$1-\frac{157}{50}\times \frac{1}{4}+2\times 2-2\times 2\times 3.14\times \frac{1}{4}$$

Multiply \frac{157}{50} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{157\times 1}{50\times 4}+2\times 2-2\times 2\times 3.14\times \frac{1}{4}$$

Do the multiplications in the fraction \frac{157\times 1}{50\times 4}.

$$1-\frac{157}{200}+2\times 2-2\times 2\times 3.14\times \frac{1}{4}$$

Convert 1 to fraction \frac{200}{200}.

$$\frac{200}{200}-\frac{157}{200}+2\times 2-2\times 2\times 3.14\times \frac{1}{4}$$

Since \frac{200}{200} and \frac{157}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{200-157}{200}+2\times 2-2\times 2\times 3.14\times \frac{1}{4}$$

Subtract 157 from 200 to get 43.

$$\frac{43}{200}+2\times 2-2\times 2\times 3.14\times \frac{1}{4}$$

Multiply 2 and 2 to get 4.

$$\frac{43}{200}+4-2\times 2\times 3.14\times \frac{1}{4}$$

Convert 4 to fraction \frac{800}{200}.

$$\frac{43}{200}+\frac{800}{200}-2\times 2\times 3.14\times \frac{1}{4}$$

Since \frac{43}{200} and \frac{800}{200} have the same denominator, add them by adding their numerators.

$$\frac{43+800}{200}-2\times 2\times 3.14\times \frac{1}{4}$$

Add 43 and 800 to get 843.

$$\frac{843}{200}-2\times 2\times 3.14\times \frac{1}{4}$$

Multiply 2 and 2 to get 4.

$$\frac{843}{200}-4\times 3.14\times \frac{1}{4}$$

Multiply 4 and 3.14 to get 12.56.

$$\frac{843}{200}-12.56\times \frac{1}{4}$$

Convert decimal number 12.56 to fraction \frac{1256}{100}. Reduce the fraction \frac{1256}{100} to lowest terms by extracting and canceling out 4.

$$\frac{843}{200}-\frac{314}{25}\times \frac{1}{4}$$

Multiply \frac{314}{25} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{843}{200}-\frac{314\times 1}{25\times 4}$$

Do the multiplications in the fraction \frac{314\times 1}{25\times 4}.

$$\frac{843}{200}-\frac{314}{100}$$

Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{843}{200}-\frac{157}{50}$$

Least common multiple of 200 and 50 is 200. Convert \frac{843}{200} and \frac{157}{50} to fractions with denominator 200.

$$\frac{843}{200}-\frac{628}{200}$$

Since \frac{843}{200} and \frac{628}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{843-628}{200}$$

Subtract 628 from 843 to get 215.

$$\frac{215}{200}$$

Reduce the fraction \frac{215}{200} to lowest terms by extracting and canceling out 5.

$$\frac{43}{40}$$

Factor

$$\frac{43}{5 \cdot 2 ^ {3}} = 1\frac{3}{40} = 1.075$$