Solve 125/8+125/455

$$\frac { 125 } { 8 } + \frac { 125 } { 455 }$$

Evaluate

$$\frac{11575}{728}\approx 15.899725275$$

Solution Steps

Reduce the fraction \frac{125}{455} to lowest terms by extracting and canceling out 5.

$$\frac{125}{8}+\frac{25}{91}$$

Least common multiple of 8 and 91 is 728. Convert \frac{125}{8} and \frac{25}{91} to fractions with denominator 728.

$$\frac{11375}{728}+\frac{200}{728}$$

Since \frac{11375}{728} and \frac{200}{728} have the same denominator, add them by adding their numerators.

$$\frac{11375+200}{728}$$

Add 11375 and 200 to get 11575.

$$\frac{11575}{728}$$

Factor

$$\frac{5 ^ {2} \cdot 463}{2 ^ {3} \cdot 7 \cdot 13} = 15\frac{655}{728} = 15.899725274725276$$