Solve 3/8+81/12*20/18=

$$\frac { 3 } { 8 } + \frac { 81 } { 12 } * \frac { 20 } { 18 } =$$

Evaluate

$$\frac{63}{8}=7.875$$

Solution Steps

Reduce the fraction \frac{81}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{8}+\frac{27}{4}\times \frac{20}{18}$$

Reduce the fraction \frac{20}{18} to lowest terms by extracting and canceling out 2.

$$\frac{3}{8}+\frac{27}{4}\times \frac{10}{9}$$

Multiply \frac{27}{4} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}+\frac{27\times 10}{4\times 9}$$

Do the multiplications in the fraction \frac{27\times 10}{4\times 9}.

$$\frac{3}{8}+\frac{270}{36}$$

Reduce the fraction \frac{270}{36} to lowest terms by extracting and canceling out 18.

$$\frac{3}{8}+\frac{15}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{3}{8} and \frac{15}{2} to fractions with denominator 8.

$$\frac{3}{8}+\frac{60}{8}$$

Since \frac{3}{8} and \frac{60}{8} have the same denominator, add them by adding their numerators.

$$\frac{3+60}{8}$$

Add 3 and 60 to get 63.

$$\frac{63}{8}$$

Factor

$$\frac{3 ^ {2} \cdot 7}{2 ^ {3}} = 7\frac{7}{8} = 7.875$$