Solve 11.5+left(12-10/12right)3

$$11.5+ \left( \frac{ 12-10 }{ 12 } \right) 3$$

Evaluate

$$12$$

Solution Steps

Subtract 10 from 12 to get 2.

$$11.5+\frac{2}{12}\times 3$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$11.5+\frac{1}{6}\times 3$$

Multiply \frac{1}{6} and 3 to get \frac{3}{6}.

$$11.5+\frac{3}{6}$$

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

$$11.5+\frac{1}{2}$$

Convert decimal number 11.5 to fraction \frac{115}{10}. Reduce the fraction \frac{115}{10} to lowest terms by extracting and canceling out 5.

$$\frac{23}{2}+\frac{1}{2}$$

Since \frac{23}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{23+1}{2}$$

Add 23 and 1 to get 24.

$$\frac{24}{2}$$

Divide 24 by 2 to get 12.

$$12$$

Factor

$$3\times 2^{2}$$