Solve 1/5+3/2*862/95

$$\frac { 1 } { 5 } + \frac { 3 } { 2 } \times \frac { 862 } { 95 }$$

Evaluate

$$\frac{1312}{95}\approx 13.810526316$$

Solution Steps

Multiply \frac{3}{2} times \frac{862}{95} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{5}+\frac{3\times 862}{2\times 95}$$

Do the multiplications in the fraction \frac{3\times 862}{2\times 95}.

$$\frac{1}{5}+\frac{2586}{190}$$

Reduce the fraction \frac{2586}{190} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+\frac{1293}{95}$$

Least common multiple of 5 and 95 is 95. Convert \frac{1}{5} and \frac{1293}{95} to fractions with denominator 95.

$$\frac{19}{95}+\frac{1293}{95}$$

Since \frac{19}{95} and \frac{1293}{95} have the same denominator, add them by adding their numerators.

$$\frac{19+1293}{95}$$

Add 19 and 1293 to get 1312.

$$\frac{1312}{95}$$

Factor

$$\frac{2 ^ {5} \cdot 41}{5 \cdot 19} = 13\frac{77}{95} = 13.810526315789474$$