Solve 45.5+(68*45)-4/12=

$$45.5 + ( 68 \times 45 ) - \frac { 4 } { 12 } =$$

Evaluate

$$\frac{18631}{6}\approx 3105.166666667$$

Solution Steps

Multiply 68 and 45 to get 3060.

$$45.5+3060-\frac{4}{12}$$

Add 45.5 and 3060 to get 3105.5.

$$3105.5-\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$3105.5-\frac{1}{3}$$

Convert decimal number 3105.5 to fraction \frac{31055}{10}. Reduce the fraction \frac{31055}{10} to lowest terms by extracting and canceling out 5.

$$\frac{6211}{2}-\frac{1}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{6211}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{18633}{6}-\frac{2}{6}$$

Since \frac{18633}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18633-2}{6}$$

Subtract 2 from 18633 to get 18631.

$$\frac{18631}{6}$$

Factor

$$\frac{31 \cdot 601}{2 \cdot 3} = 3105\frac{1}{6} = 3105.1666666666665$$