Solve 15.5+(6.8*4.5)-4/12=

$$15.5 + ( 6.8 \times 4.5 ) - \frac { 4 } { 12 } =$$

Evaluate

$$\frac{1373}{30}\approx 45.766666667$$

Solution Steps

Multiply 6.8 and 4.5 to get 30.6.

$$15.5+30.6-\frac{4}{12}$$

Add 15.5 and 30.6 to get 46.1.

$$46.1-\frac{4}{12}$$

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

$$46.1-\frac{1}{3}$$

Convert decimal number 46.1 to fraction \frac{461}{10}.

$$\frac{461}{10}-\frac{1}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{461}{10} and \frac{1}{3} to fractions with denominator 30.

$$\frac{1383}{30}-\frac{10}{30}$$

Since \frac{1383}{30} and \frac{10}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1383-10}{30}$$

Subtract 10 from 1383 to get 1373.

$$\frac{1373}{30}$$

Factor

$$\frac{1373}{2 \cdot 3 \cdot 5} = 45\frac{23}{30} = 45.766666666666666$$