Solve 313133/342240+1/100

$$\frac { 313133 } { 342240 } + \frac { 1 } { 100 }$$

Evaluate

$$\frac{1582777}{1711200}\approx 0.924951496$$

Solution Steps

Least common multiple of 342240 and 100 is 1711200. Convert \frac{313133}{342240} and \frac{1}{100} to fractions with denominator 1711200.

$$\frac{1565665}{1711200}+\frac{17112}{1711200}$$

Since \frac{1565665}{1711200} and \frac{17112}{1711200} have the same denominator, add them by adding their numerators.

$$\frac{1565665+17112}{1711200}$$

Add 1565665 and 17112 to get 1582777.

$$\frac{1582777}{1711200}$$

Factor

$$\frac{7 \cdot 173 \cdot 1307}{2 ^ {5} \cdot 3 \cdot 5 ^ {2} \cdot 23 \cdot 31} = 0.9249514960261804$$