Solve 0.415876+5/3

$$0.415876 + \frac { 5 } { 3 }$$

Evaluate

$$\frac{1561907}{750000}\approx 2.082542667$$

Solution Steps

Convert decimal number 0.415876 to fraction \frac{415876}{1000000}. Reduce the fraction \frac{415876}{1000000} to lowest terms by extracting and canceling out 4.

$$\frac{103969}{250000}+\frac{5}{3}$$

Least common multiple of 250000 and 3 is 750000. Convert \frac{103969}{250000} and \frac{5}{3} to fractions with denominator 750000.

$$\frac{311907}{750000}+\frac{1250000}{750000}$$

Since \frac{311907}{750000} and \frac{1250000}{750000} have the same denominator, add them by adding their numerators.

$$\frac{311907+1250000}{750000}$$

Add 311907 and 1250000 to get 1561907.

$$\frac{1561907}{750000}$$

Factor

$$\frac{23 \cdot 59 \cdot 1151}{3 \cdot 2 ^ {4} \cdot 5 ^ {6}} = 2\frac{61907}{750000} = 2.082542666666667$$