Solve (2.5+10+1/0.5)*1/1.5

$$(2.5+ \frac{ 10+1 }{ 0.5 } ) \times \frac{ 1 }{ 1.5 }$$

Evaluate

$$\frac{49}{3}\approx 16.333333333$$

Solution Steps

Add 10 and 1 to get 11.

$$\left(2.5+\frac{11}{0.5}\right)\times \frac{1}{1.5}$$

Expand \frac{11}{0.5} by multiplying both numerator and the denominator by 10.

$$\left(2.5+\frac{110}{5}\right)\times \frac{1}{1.5}$$

Divide 110 by 5 to get 22.

$$\left(2.5+22\right)\times \frac{1}{1.5}$$

Add 2.5 and 22 to get 24.5.

$$24.5\times \frac{1}{1.5}$$

Expand \frac{1}{1.5} by multiplying both numerator and the denominator by 10.

$$24.5\times \frac{10}{15}$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

$$24.5\times \frac{2}{3}$$

Convert decimal number 24.5 to fraction \frac{245}{10}. Reduce the fraction \frac{245}{10} to lowest terms by extracting and canceling out 5.

$$\frac{49}{2}\times \frac{2}{3}$$

Multiply \frac{49}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 2}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{49}{3}$$

Factor

$$\frac{7 ^ {2}}{3} = 16\frac{1}{3} = 16.333333333333332$$