Solve 2/3*11/5div12/25

$$\frac { 2 } { 3 } \times 1 \frac { 1 } { 5 } \div \frac { 12 } { 25 }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{\frac{2}{3}\times \frac{5+1}{5}}{\frac{12}{25}}$$

Add 5 and 1 to get 6.

$$\frac{\frac{2}{3}\times \frac{6}{5}}{\frac{12}{25}}$$

Multiply \frac{2}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2\times 6}{3\times 5}}{\frac{12}{25}}$$

Do the multiplications in the fraction \frac{2\times 6}{3\times 5}.

$$\frac{\frac{12}{15}}{\frac{12}{25}}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{4}{5}}{\frac{12}{25}}$$

Divide \frac{4}{5} by \frac{12}{25} by multiplying \frac{4}{5} by the reciprocal of \frac{12}{25}.

$$\frac{4}{5}\times \frac{25}{12}$$

Multiply \frac{4}{5} times \frac{25}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 25}{5\times 12}$$

Do the multiplications in the fraction \frac{4\times 25}{5\times 12}.

$$\frac{100}{60}$$

Reduce the fraction \frac{100}{60} to lowest terms by extracting and canceling out 20.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$