Solve 23(1.5)(11+40/60)

$$23 ( 1.5 ) ( 11 + \frac { 40 } { 60 } )$$

Evaluate

$$402.5$$

Solution Steps

Multiply 23 and 1.5 to get 34.5.

$$34.5\left(11+\frac{40}{60}\right)$$

Reduce the fraction \frac{40}{60} to lowest terms by extracting and canceling out 20.

$$34.5\left(11+\frac{2}{3}\right)$$

Convert 11 to fraction \frac{33}{3}.

$$34.5\left(\frac{33}{3}+\frac{2}{3}\right)$$

Since \frac{33}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$34.5\times \frac{33+2}{3}$$

Add 33 and 2 to get 35.

$$34.5\times \frac{35}{3}$$

Convert decimal number 34.5 to fraction \frac{345}{10}. Reduce the fraction \frac{345}{10} to lowest terms by extracting and canceling out 5.

$$\frac{69}{2}\times \frac{35}{3}$$

Multiply \frac{69}{2} times \frac{35}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{69\times 35}{2\times 3}$$

Do the multiplications in the fraction \frac{69\times 35}{2\times 3}.

$$\frac{2415}{6}$$

Reduce the fraction \frac{2415}{6} to lowest terms by extracting and canceling out 3.

$$\frac{805}{2}$$

Factor

$$\frac{5 \cdot 7 \cdot 23}{2} = 402\frac{1}{2} = 402.5$$