Solve 50-19.56div(0.237+0.163)-0.71*0.5

$$50-19.56 \div (0.237+0.163)-0.71 \times 0.5$$

Evaluate

$$0.745$$

Solution Steps

Add 0.237 and 0.163 to get 0.4.

$$50-\frac{19.56}{0.4}-0.71\times 0.5$$

Expand \frac{19.56}{0.4} by multiplying both numerator and the denominator by 100.

$$50-\frac{1956}{40}-0.71\times 0.5$$

Reduce the fraction \frac{1956}{40} to lowest terms by extracting and canceling out 4.

$$50-\frac{489}{10}-0.71\times 0.5$$

Convert 50 to fraction \frac{500}{10}.

$$\frac{500}{10}-\frac{489}{10}-0.71\times 0.5$$

Since \frac{500}{10} and \frac{489}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{500-489}{10}-0.71\times 0.5$$

Subtract 489 from 500 to get 11.

$$\frac{11}{10}-0.71\times 0.5$$

Multiply 0.71 and 0.5 to get 0.355.

$$\frac{11}{10}-0.355$$

Convert decimal number 0.355 to fraction \frac{355}{1000}. Reduce the fraction \frac{355}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{11}{10}-\frac{71}{200}$$

Least common multiple of 10 and 200 is 200. Convert \frac{11}{10} and \frac{71}{200} to fractions with denominator 200.

$$\frac{220}{200}-\frac{71}{200}$$

Since \frac{220}{200} and \frac{71}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{220-71}{200}$$

Subtract 71 from 220 to get 149.

$$\frac{149}{200}$$

Factor

$$\frac{149}{2 ^ {3} \cdot 5 ^ {2}} = 0.745$$