Solve (21.25+2/3

$$( 21.25 + \frac { 2 } { 3 }$$

Evaluate

$$\frac{263}{12}\approx 21.916666667$$

Solution Steps

Convert decimal number 21.25 to fraction \frac{2125}{100}. Reduce the fraction \frac{2125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{85}{4}+\frac{2}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{85}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{255}{12}+\frac{8}{12}$$

Since \frac{255}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{255+8}{12}$$

Add 255 and 8 to get 263.

$$\frac{263}{12}$$

Factor

$$\frac{263}{3 \cdot 2 ^ {2}} = 21\frac{11}{12} = 21.916666666666668$$