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

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

Evaluate

$$\frac{14101}{60}\approx 235.016666667$$

Solution Steps

Add 45.5 and 6.8 to get 52.3.

$$52.3\times 4.5-\frac{4}{12}$$

Multiply 52.3 and 4.5 to get 235.35.

$$235.35-\frac{4}{12}$$

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

$$235.35-\frac{1}{3}$$

Convert decimal number 235.35 to fraction \frac{23535}{100}. Reduce the fraction \frac{23535}{100} to lowest terms by extracting and canceling out 5.

$$\frac{4707}{20}-\frac{1}{3}$$

Least common multiple of 20 and 3 is 60. Convert \frac{4707}{20} and \frac{1}{3} to fractions with denominator 60.

$$\frac{14121}{60}-\frac{20}{60}$$

Since \frac{14121}{60} and \frac{20}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14121-20}{60}$$

Subtract 20 from 14121 to get 14101.

$$\frac{14101}{60}$$

Factor

$$\frac{59 \cdot 239}{3 \cdot 5 \cdot 2 ^ {2}} = 235\frac{1}{60} = 235.01666666666668$$