Solve 5/9*11/16+5/9*5/16

$$\frac { 5 } { 9 } \cdot \frac { 11 } { 16 } + \frac { 5 } { 9 } \cdot \frac { 5 } { 16 }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Multiply \frac{5}{9} times \frac{11}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 11}{9\times 16}+\frac{5}{9}\times \frac{5}{16}$$

Do the multiplications in the fraction \frac{5\times 11}{9\times 16}.

$$\frac{55}{144}+\frac{5}{9}\times \frac{5}{16}$$

Multiply \frac{5}{9} times \frac{5}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{55}{144}+\frac{5\times 5}{9\times 16}$$

Do the multiplications in the fraction \frac{5\times 5}{9\times 16}.

$$\frac{55}{144}+\frac{25}{144}$$

Since \frac{55}{144} and \frac{25}{144} have the same denominator, add them by adding their numerators.

$$\frac{55+25}{144}$$

Add 55 and 25 to get 80.

$$\frac{80}{144}$$

Reduce the fraction \frac{80}{144} to lowest terms by extracting and canceling out 16.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$