Solve 13/18*5/6+5/18*5/6

$$\frac { 13 } { 18 } \cdot \frac { 5 } { 6 } + \frac { 5 } { 18 } \cdot \frac { 5 } { 6 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Multiply \frac{13}{18} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 5}{18\times 6}+\frac{5}{18}\times \frac{5}{6}$$

Do the multiplications in the fraction \frac{13\times 5}{18\times 6}.

$$\frac{65}{108}+\frac{5}{18}\times \frac{5}{6}$$

Multiply \frac{5}{18} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{65}{108}+\frac{5\times 5}{18\times 6}$$

Do the multiplications in the fraction \frac{5\times 5}{18\times 6}.

$$\frac{65}{108}+\frac{25}{108}$$

Since \frac{65}{108} and \frac{25}{108} have the same denominator, add them by adding their numerators.

$$\frac{65+25}{108}$$

Add 65 and 25 to get 90.

$$\frac{90}{108}$$

Reduce the fraction \frac{90}{108} to lowest terms by extracting and canceling out 18.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$