Solve 81/2*0.8-0.8*71/2

$$8 \frac { 1 } { 2 } \times 0.8 - 0.8 \times 7 \frac { 1 } { 2 }$$

Evaluate

$$0.8$$

Solution Steps

Multiply 8 and 2 to get 16.

$$\frac{16+1}{2}\times 0.8-0.8\times \frac{7\times 2+1}{2}$$

Add 16 and 1 to get 17.

$$\frac{17}{2}\times 0.8-0.8\times \frac{7\times 2+1}{2}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{17}{2}\times \frac{4}{5}-0.8\times \frac{7\times 2+1}{2}$$

Multiply \frac{17}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 4}{2\times 5}-0.8\times \frac{7\times 2+1}{2}$$

Do the multiplications in the fraction \frac{17\times 4}{2\times 5}.

$$\frac{68}{10}-0.8\times \frac{7\times 2+1}{2}$$

Reduce the fraction \frac{68}{10} to lowest terms by extracting and canceling out 2.

$$\frac{34}{5}-0.8\times \frac{7\times 2+1}{2}$$

Multiply 7 and 2 to get 14.

$$\frac{34}{5}-0.8\times \frac{14+1}{2}$$

Add 14 and 1 to get 15.

$$\frac{34}{5}-0.8\times \frac{15}{2}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{34}{5}-\frac{4}{5}\times \frac{15}{2}$$

Multiply \frac{4}{5} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{34}{5}-\frac{4\times 15}{5\times 2}$$

Do the multiplications in the fraction \frac{4\times 15}{5\times 2}.

$$\frac{34}{5}-\frac{60}{10}$$

Divide 60 by 10 to get 6.

$$\frac{34}{5}-6$$

Convert 6 to fraction \frac{30}{5}.

$$\frac{34}{5}-\frac{30}{5}$$

Since \frac{34}{5} and \frac{30}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-30}{5}$$

Subtract 30 from 34 to get 4.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$