Solve 1/2+1.414+3.142

$$\frac{ 1 }{ 2 } +1.414+3.142$$

Evaluate

$$5.056$$

Solution Steps

Convert decimal number 1.414 to fraction \frac{1414}{1000}. Reduce the fraction \frac{1414}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}+\frac{707}{500}+3.142$$

Least common multiple of 2 and 500 is 500. Convert \frac{1}{2} and \frac{707}{500} to fractions with denominator 500.

$$\frac{250}{500}+\frac{707}{500}+3.142$$

Since \frac{250}{500} and \frac{707}{500} have the same denominator, add them by adding their numerators.

$$\frac{250+707}{500}+3.142$$

Add 250 and 707 to get 957.

$$\frac{957}{500}+3.142$$

Convert decimal number 3.142 to fraction \frac{3142}{1000}. Reduce the fraction \frac{3142}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{957}{500}+\frac{1571}{500}$$

Since \frac{957}{500} and \frac{1571}{500} have the same denominator, add them by adding their numerators.

$$\frac{957+1571}{500}$$

Add 957 and 1571 to get 2528.

$$\frac{2528}{500}$$

Reduce the fraction \frac{2528}{500} to lowest terms by extracting and canceling out 4.

$$\frac{632}{125}$$

Factor

$$\frac{79 \cdot 2 ^ {3}}{5 ^ {3}} = 5\frac{7}{125} = 5.056$$