Solve 15.4/2-2*(6.2-15.6)

$$15.4 / 2 - 2 * ( 6.2 - 15.6 )$$

Evaluate

$$26.5$$

Solution Steps

Expand \frac{15.4}{2} by multiplying both numerator and the denominator by 10.

$$\frac{154}{20}-2\left(6.2-15.6\right)$$

Reduce the fraction \frac{154}{20} to lowest terms by extracting and canceling out 2.

$$\frac{77}{10}-2\left(6.2-15.6\right)$$

Subtract 15.6 from 6.2 to get -9.4.

$$\frac{77}{10}-2\left(-9.4\right)$$

Multiply 2 and -9.4 to get -18.8.

$$\frac{77}{10}-\left(-18.8\right)$$

The opposite of -18.8 is 18.8.

$$\frac{77}{10}+18.8$$

Convert decimal number 18.8 to fraction \frac{188}{10}. Reduce the fraction \frac{188}{10} to lowest terms by extracting and canceling out 2.

$$\frac{77}{10}+\frac{94}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{77}{10} and \frac{94}{5} to fractions with denominator 10.

$$\frac{77}{10}+\frac{188}{10}$$

Since \frac{77}{10} and \frac{188}{10} have the same denominator, add them by adding their numerators.

$$\frac{77+188}{10}$$

Add 77 and 188 to get 265.

$$\frac{265}{10}$$

Reduce the fraction \frac{265}{10} to lowest terms by extracting and canceling out 5.

$$\frac{53}{2}$$

Factor

$$\frac{53}{2} = 26\frac{1}{2} = 26.5$$