Solve 11/20div2/8*2/3

$$1 \frac { 1 } { 20 } \div \frac { 2 } { 8 } \times \frac { 2 } { 3 }$$

Evaluate

$$\frac{14}{5}=2.8$$

Solution Steps

Divide \frac{1\times 20+1}{20} by \frac{2}{8} by multiplying \frac{1\times 20+1}{20} by the reciprocal of \frac{2}{8}.

$$\frac{\left(1\times 20+1\right)\times 8}{20\times 2}\times \frac{2}{3}$$

Cancel out 2\times 4 in both numerator and denominator.

$$\frac{1+20}{5}\times \frac{2}{3}$$

Add 1 and 20 to get 21.

$$\frac{21}{5}\times \frac{2}{3}$$

Multiply \frac{21}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 2}{5\times 3}$$

Do the multiplications in the fraction \frac{21\times 2}{5\times 3}.

$$\frac{42}{15}$$

Reduce the fraction \frac{42}{15} to lowest terms by extracting and canceling out 3.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$