Solve 45.5+(6.8*4.5)-4/12=

$$45.5 + ( 6.8 \times 4.5 ) - \frac { 4 } { 12 } =$$

Evaluate

$$\frac{2273}{30}\approx 75.766666667$$

Solution Steps

Multiply 6.8 and 4.5 to get 30.6.

$$45.5+30.6-\frac{4}{12}$$

Add 45.5 and 30.6 to get 76.1.

$$76.1-\frac{4}{12}$$

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

$$76.1-\frac{1}{3}$$

Convert decimal number 76.1 to fraction \frac{761}{10}.

$$\frac{761}{10}-\frac{1}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{761}{10} and \frac{1}{3} to fractions with denominator 30.

$$\frac{2283}{30}-\frac{10}{30}$$

Since \frac{2283}{30} and \frac{10}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2283-10}{30}$$

Subtract 10 from 2283 to get 2273.

$$\frac{2273}{30}$$

Factor

$$\frac{2273}{2 \cdot 3 \cdot 5} = 75\frac{23}{30} = 75.76666666666667$$