Solve 9/16div9+1/9*9/16

$$\frac { 9 } { 16 } \div 9 + \frac { 1 } { 9 } \times \frac { 9 } { 16 }$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Express \frac{\frac{9}{16}}{9} as a single fraction.

$$\frac{9}{16\times 9}+\frac{1}{9}\times \frac{9}{16}$$

Cancel out 9 in both numerator and denominator.

$$\frac{1}{16}+\frac{1}{9}\times \frac{9}{16}$$

Multiply \frac{1}{9} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{16}+\frac{1\times 9}{9\times 16}$$

Cancel out 9 in both numerator and denominator.

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

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

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

Add 1 and 1 to get 2.

$$\frac{2}{16}$$

Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$