Solve 5/8*1/3+38/8*2/3

$$\frac { 5 } { 8 } \cdot \frac { 1 } { 3 } + \frac { 38 } { 8 } \cdot \frac { 2 } { 3 }$$

Evaluate

$$\frac{27}{8}=3.375$$

Solution Steps

Multiply \frac{5}{8} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{8\times 3}+\frac{38}{8}\times \frac{2}{3}$$

Do the multiplications in the fraction \frac{5\times 1}{8\times 3}.

$$\frac{5}{24}+\frac{38}{8}\times \frac{2}{3}$$

Reduce the fraction \frac{38}{8} to lowest terms by extracting and canceling out 2.

$$\frac{5}{24}+\frac{19}{4}\times \frac{2}{3}$$

Multiply \frac{19}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{24}+\frac{19\times 2}{4\times 3}$$

Do the multiplications in the fraction \frac{19\times 2}{4\times 3}.

$$\frac{5}{24}+\frac{38}{12}$$

Reduce the fraction \frac{38}{12} to lowest terms by extracting and canceling out 2.

$$\frac{5}{24}+\frac{19}{6}$$

Least common multiple of 24 and 6 is 24. Convert \frac{5}{24} and \frac{19}{6} to fractions with denominator 24.

$$\frac{5}{24}+\frac{76}{24}$$

Since \frac{5}{24} and \frac{76}{24} have the same denominator, add them by adding their numerators.

$$\frac{5+76}{24}$$

Add 5 and 76 to get 81.

$$\frac{81}{24}$$

Reduce the fraction \frac{81}{24} to lowest terms by extracting and canceling out 3.

$$\frac{27}{8}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3}} = 3\frac{3}{8} = 3.375$$