Solve 8.1-16.8div8+4.4(16-11.5div(1div0.5))

$$8.1-16.8 \div 8+4.4(16-11.5 \div (1 \div 0.5))$$

Evaluate

$$51.1$$

Solution Steps

Expand \frac{16.8}{8} by multiplying both numerator and the denominator by 10.

$$8.1-\frac{168}{80}+4.4\left(16-\frac{11.5}{\frac{1}{0.5}}\right)$$

Reduce the fraction \frac{168}{80} to lowest terms by extracting and canceling out 8.

$$8.1-\frac{21}{10}+4.4\left(16-\frac{11.5}{\frac{1}{0.5}}\right)$$

Convert decimal number 8.1 to fraction \frac{81}{10}.

$$\frac{81}{10}-\frac{21}{10}+4.4\left(16-\frac{11.5}{\frac{1}{0.5}}\right)$$

Since \frac{81}{10} and \frac{21}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-21}{10}+4.4\left(16-\frac{11.5}{\frac{1}{0.5}}\right)$$

Subtract 21 from 81 to get 60.

$$\frac{60}{10}+4.4\left(16-\frac{11.5}{\frac{1}{0.5}}\right)$$

Divide 60 by 10 to get 6.

$$6+4.4\left(16-\frac{11.5}{\frac{1}{0.5}}\right)$$

Divide 11.5 by \frac{1}{0.5} by multiplying 11.5 by the reciprocal of \frac{1}{0.5}.

$$6+4.4\left(16-11.5\times 0.5\right)$$

Multiply 11.5 and 0.5 to get 5.75.

$$6+4.4\left(16-5.75\right)$$

Subtract 5.75 from 16 to get 10.25.

$$6+4.4\times 10.25$$

Multiply 4.4 and 10.25 to get 45.1.

$$6+45.1$$

Add 6 and 45.1 to get 51.1.

$$51.1$$

Factor

$$\frac{7 \cdot 73}{2 \cdot 5} = 51\frac{1}{10} = 51.1$$