Solve 4/10*5/8+5/6

$$\frac { 4 } { 10 } \times \frac { 5 } { 8 } + \frac { 5 } { 6 }$$

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times \frac{5}{8}+\frac{5}{6}$$

Multiply \frac{2}{5} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{5\times 8}+\frac{5}{6}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2}{8}+\frac{5}{6}$$

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

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

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{3}{12}+\frac{10}{12}$$

Since \frac{3}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+10}{12}$$

Add 3 and 10 to get 13.

$$\frac{13}{12}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$