Solve 1-1/16+1/25

$$1- \frac{ 1 }{ 16 } + \frac{ 1 }{ 25 }$$

Evaluate

$$\frac{391}{400}=0.9775$$

Solution Steps

Convert 1 to fraction \frac{16}{16}.

$$\frac{16}{16}-\frac{1}{16}+\frac{1}{25}$$

Since \frac{16}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-1}{16}+\frac{1}{25}$$

Subtract 1 from 16 to get 15.

$$\frac{15}{16}+\frac{1}{25}$$

Least common multiple of 16 and 25 is 400. Convert \frac{15}{16} and \frac{1}{25} to fractions with denominator 400.

$$\frac{375}{400}+\frac{16}{400}$$

Since \frac{375}{400} and \frac{16}{400} have the same denominator, add them by adding their numerators.

$$\frac{375+16}{400}$$

Add 375 and 16 to get 391.

$$\frac{391}{400}$$

Factor

$$\frac{17 \cdot 23}{2 ^ {4} \cdot 5 ^ {2}} = 0.9775$$