Solve 17/20+14/106

$$\frac { 17 } { 20 } + \frac { 14 } { 106 }$$

Evaluate

$$\frac{1041}{1060}\approx 0.982075472$$

Solution Steps

Reduce the fraction \frac{14}{106} to lowest terms by extracting and canceling out 2.

$$\frac{17}{20}+\frac{7}{53}$$

Least common multiple of 20 and 53 is 1060. Convert \frac{17}{20} and \frac{7}{53} to fractions with denominator 1060.

$$\frac{901}{1060}+\frac{140}{1060}$$

Since \frac{901}{1060} and \frac{140}{1060} have the same denominator, add them by adding their numerators.

$$\frac{901+140}{1060}$$

Add 901 and 140 to get 1041.

$$\frac{1041}{1060}$$

Factor

$$\frac{3 \cdot 347}{2 ^ {2} \cdot 5 \cdot 53} = 0.9820754716981132$$