Solve 1+9/16+25/4

$$1 + \frac { 9 } { 16 } + \frac { 25 } { 4 }$$

Evaluate

$$\frac{125}{16}=7.8125$$

Solution Steps

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

$$\frac{16}{16}+\frac{9}{16}+\frac{25}{4}$$

Since \frac{16}{16} and \frac{9}{16} have the same denominator, add them by adding their numerators.

$$\frac{16+9}{16}+\frac{25}{4}$$

Add 16 and 9 to get 25.

$$\frac{25}{16}+\frac{25}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{25}{16} and \frac{25}{4} to fractions with denominator 16.

$$\frac{25}{16}+\frac{100}{16}$$

Since \frac{25}{16} and \frac{100}{16} have the same denominator, add them by adding their numerators.

$$\frac{25+100}{16}$$

Add 25 and 100 to get 125.

$$\frac{125}{16}$$

Factor

$$\frac{5 ^ {3}}{2 ^ {4}} = 7\frac{13}{16} = 7.8125$$