Solve 2/3*13/8:21/4

$$\frac { 2 } { 3 } \times 1 \frac { 3 } { 8 } : 2 \frac { 1 } { 4 }$$

Evaluate

$$\frac{11}{27}\approx 0.407407407$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{\frac{2}{3}\times \frac{8+3}{8}}{\frac{2\times 4+1}{4}}$$

Add 8 and 3 to get 11.

$$\frac{\frac{2}{3}\times \frac{11}{8}}{\frac{2\times 4+1}{4}}$$

Multiply \frac{2}{3} times \frac{11}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2\times 11}{3\times 8}}{\frac{2\times 4+1}{4}}$$

Do the multiplications in the fraction \frac{2\times 11}{3\times 8}.

$$\frac{\frac{22}{24}}{\frac{2\times 4+1}{4}}$$

Reduce the fraction \frac{22}{24} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{11}{12}}{\frac{2\times 4+1}{4}}$$

Multiply 2 and 4 to get 8.

$$\frac{\frac{11}{12}}{\frac{8+1}{4}}$$

Add 8 and 1 to get 9.

$$\frac{\frac{11}{12}}{\frac{9}{4}}$$

Divide \frac{11}{12} by \frac{9}{4} by multiplying \frac{11}{12} by the reciprocal of \frac{9}{4}.

$$\frac{11}{12}\times \frac{4}{9}$$

Multiply \frac{11}{12} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 4}{12\times 9}$$

Do the multiplications in the fraction \frac{11\times 4}{12\times 9}.

$$\frac{44}{108}$$

Reduce the fraction \frac{44}{108} to lowest terms by extracting and canceling out 4.

$$\frac{11}{27}$$

Factor

$$\frac{11}{3 ^ {3}} = 0.4074074074074074$$