Solve 1/2(8+14.6)9

$$1 / 2 ( 8 + 14.6 ) 9$$

Evaluate

$$101.7$$

Solution Steps

Add 8 and 14.6 to get 22.6.

$$\frac{1}{2}\times 22.6\times 9$$

Convert decimal number 22.6 to fraction \frac{226}{10}. Reduce the fraction \frac{226}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{113}{5}\times 9$$

Multiply \frac{1}{2} times \frac{113}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 113}{2\times 5}\times 9$$

Do the multiplications in the fraction \frac{1\times 113}{2\times 5}.

$$\frac{113}{10}\times 9$$

Express \frac{113}{10}\times 9 as a single fraction.

$$\frac{113\times 9}{10}$$

Multiply 113 and 9 to get 1017.

$$\frac{1017}{10}$$

Factor

$$\frac{113 \cdot 3 ^ {2}}{2 \cdot 5} = 101\frac{7}{10} = 101.7$$