Solve 5/6*8/10+11/2*4/6=

$$\frac { 5 } { 6 } \cdot \frac { 8 } { 10 } + 1 \frac { 1 } { 2 } \cdot \frac { 4 } { 6 } =$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}\times \frac{4}{5}+\frac{1\times 2+1}{2}\times \frac{4}{6}$$

Multiply \frac{5}{6} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{6\times 5}+\frac{1\times 2+1}{2}\times \frac{4}{6}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4}{6}+\frac{1\times 2+1}{2}\times \frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}+\frac{1\times 2+1}{2}\times \frac{4}{6}$$

Multiply 1 and 2 to get 2.

$$\frac{2}{3}+\frac{2+1}{2}\times \frac{4}{6}$$

Add 2 and 1 to get 3.

$$\frac{2}{3}+\frac{3}{2}\times \frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}+\frac{3}{2}\times \frac{2}{3}$$

Cancel out \frac{3}{2} and its reciprocal \frac{2}{3}.

$$\frac{2}{3}+1$$

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{2}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$