Solve 121/2(9/10+180)

$$12 \frac { 1 } { 2 } ( \frac { 9 } { 10 } + 180 )$$

Evaluate

$$\frac{9045}{4}=2261.25$$

Solution Steps

Multiply 12 and 2 to get 24.

$$\frac{24+1}{2}\left(\frac{9}{10}+180\right)$$

Add 24 and 1 to get 25.

$$\frac{25}{2}\left(\frac{9}{10}+180\right)$$

Convert 180 to fraction \frac{1800}{10}.

$$\frac{25}{2}\left(\frac{9}{10}+\frac{1800}{10}\right)$$

Since \frac{9}{10} and \frac{1800}{10} have the same denominator, add them by adding their numerators.

$$\frac{25}{2}\times \frac{9+1800}{10}$$

Add 9 and 1800 to get 1809.

$$\frac{25}{2}\times \frac{1809}{10}$$

Multiply \frac{25}{2} times \frac{1809}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 1809}{2\times 10}$$

Do the multiplications in the fraction \frac{25\times 1809}{2\times 10}.

$$\frac{45225}{20}$$

Reduce the fraction \frac{45225}{20} to lowest terms by extracting and canceling out 5.

$$\frac{9045}{4}$$

Factor

$$\frac{3 ^ {3} \cdot 5 \cdot 67}{2 ^ {2}} = 2261\frac{1}{4} = 2261.25$$