Solve 1/2+199/6/1997

$$\frac { 1 } { 2 } + \frac { 199 / 6 } { 1997 }$$

Evaluate

$$\frac{3095}{5991}\approx 0.516608246$$

Solution Steps

Express \frac{\frac{199}{6}}{1997} as a single fraction.

$$\frac{1}{2}+\frac{199}{6\times 1997}$$

Multiply 6 and 1997 to get 11982.

$$\frac{1}{2}+\frac{199}{11982}$$

Least common multiple of 2 and 11982 is 11982. Convert \frac{1}{2} and \frac{199}{11982} to fractions with denominator 11982.

$$\frac{5991}{11982}+\frac{199}{11982}$$

Since \frac{5991}{11982} and \frac{199}{11982} have the same denominator, add them by adding their numerators.

$$\frac{5991+199}{11982}$$

Add 5991 and 199 to get 6190.

$$\frac{6190}{11982}$$

Reduce the fraction \frac{6190}{11982} to lowest terms by extracting and canceling out 2.

$$\frac{3095}{5991}$$

Factor

$$\frac{5 \cdot 619}{3 \cdot 1997} = 0.5166082457018861$$