Solve 15/6div12/5*12/10

$$1 \frac{ 5 }{ 6 } \div 1 \frac{ 2 }{ 5 } \times 1 \frac{ 2 }{ 10 }$$

Evaluate

$$\frac{11}{7}\approx 1.571428571$$

Solution Steps

Divide \frac{1\times 6+5}{6} by \frac{1\times 5+2}{5} by multiplying \frac{1\times 6+5}{6} by the reciprocal of \frac{1\times 5+2}{5}.

$$\frac{\left(1\times 6+5\right)\times 5}{6\left(1\times 5+2\right)}\times \frac{1\times 10+2}{10}$$

Multiply 1 and 6 to get 6.

$$\frac{\left(6+5\right)\times 5}{6\left(1\times 5+2\right)}\times \frac{1\times 10+2}{10}$$

Add 6 and 5 to get 11.

$$\frac{11\times 5}{6\left(1\times 5+2\right)}\times \frac{1\times 10+2}{10}$$

Multiply 11 and 5 to get 55.

$$\frac{55}{6\left(1\times 5+2\right)}\times \frac{1\times 10+2}{10}$$

Multiply 1 and 5 to get 5.

$$\frac{55}{6\left(5+2\right)}\times \frac{1\times 10+2}{10}$$

Add 5 and 2 to get 7.

$$\frac{55}{6\times 7}\times \frac{1\times 10+2}{10}$$

Multiply 6 and 7 to get 42.

$$\frac{55}{42}\times \frac{1\times 10+2}{10}$$

Multiply 1 and 10 to get 10.

$$\frac{55}{42}\times \frac{10+2}{10}$$

Add 10 and 2 to get 12.

$$\frac{55}{42}\times \frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{55}{42}\times \frac{6}{5}$$

Multiply \frac{55}{42} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{55\times 6}{42\times 5}$$

Do the multiplications in the fraction \frac{55\times 6}{42\times 5}.

$$\frac{330}{210}$$

Reduce the fraction \frac{330}{210} to lowest terms by extracting and canceling out 30.

$$\frac{11}{7}$$

Factor

$$\frac{11}{7} = 1\frac{4}{7} = 1.5714285714285714$$