Solve 12/5div11/20*5/7=

$$1 \frac { 2 } { 5 } \div 1 \frac { 1 } { 20 } \times \frac { 5 } { 7 } =$$

Evaluate

$$\frac{20}{21}\approx 0.952380952$$

Solution Steps

Divide \frac{1\times 5+2}{5} by \frac{1\times 20+1}{20} by multiplying \frac{1\times 5+2}{5} by the reciprocal of \frac{1\times 20+1}{20}.

$$\frac{\left(1\times 5+2\right)\times 20}{5\left(1\times 20+1\right)}\times \frac{5}{7}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4\left(2+5\right)}{1+20}\times \frac{5}{7}$$

Add 2 and 5 to get 7.

$$\frac{4\times 7}{1+20}\times \frac{5}{7}$$

Multiply 4 and 7 to get 28.

$$\frac{28}{1+20}\times \frac{5}{7}$$

Add 1 and 20 to get 21.

$$\frac{28}{21}\times \frac{5}{7}$$

Reduce the fraction \frac{28}{21} to lowest terms by extracting and canceling out 7.

$$\frac{4}{3}\times \frac{5}{7}$$

Multiply \frac{4}{3} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 5}{3\times 7}$$

Do the multiplications in the fraction \frac{4\times 5}{3\times 7}.

$$\frac{20}{21}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 \cdot 7} = 0.9523809523809523$$