Solve 105/12div11/4*21/5/81/3

$$10 \frac { 5 } { 12 } \div 1 \frac { 1 } { 4 } \times 2 \frac { 1 } { 5 } / 8 \frac { 1 } { 3 }$$

Evaluate

$$\frac{11}{5}=2.2$$

Solution Steps

Divide \frac{10\times 12+5}{12} by \frac{1\times 4+1}{4} by multiplying \frac{10\times 12+5}{12} by the reciprocal of \frac{1\times 4+1}{4}.

$$\frac{\frac{\left(10\times 12+5\right)\times 4}{12\left(1\times 4+1\right)}\times \frac{2\times 5+1}{5}}{\frac{8\times 3+1}{3}}$$

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{5+10\times 12}{3\left(1+4\right)}\times \frac{2\times 5+1}{5}}{\frac{8\times 3+1}{3}}$$

Multiply 10 and 12 to get 120.

$$\frac{\frac{5+120}{3\left(1+4\right)}\times \frac{2\times 5+1}{5}}{\frac{8\times 3+1}{3}}$$

Add 5 and 120 to get 125.

$$\frac{\frac{125}{3\left(1+4\right)}\times \frac{2\times 5+1}{5}}{\frac{8\times 3+1}{3}}$$

Add 1 and 4 to get 5.

$$\frac{\frac{125}{3\times 5}\times \frac{2\times 5+1}{5}}{\frac{8\times 3+1}{3}}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{125}{15}\times \frac{2\times 5+1}{5}}{\frac{8\times 3+1}{3}}$$

Reduce the fraction \frac{125}{15} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{25}{3}\times \frac{2\times 5+1}{5}}{\frac{8\times 3+1}{3}}$$

Multiply 2 and 5 to get 10.

$$\frac{\frac{25}{3}\times \frac{10+1}{5}}{\frac{8\times 3+1}{3}}$$

Add 10 and 1 to get 11.

$$\frac{\frac{25}{3}\times \frac{11}{5}}{\frac{8\times 3+1}{3}}$$

Multiply \frac{25}{3} times \frac{11}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{25\times 11}{3\times 5}}{\frac{8\times 3+1}{3}}$$

Do the multiplications in the fraction \frac{25\times 11}{3\times 5}.

$$\frac{\frac{275}{15}}{\frac{8\times 3+1}{3}}$$

Reduce the fraction \frac{275}{15} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{55}{3}}{\frac{8\times 3+1}{3}}$$

Multiply 8 and 3 to get 24.

$$\frac{\frac{55}{3}}{\frac{24+1}{3}}$$

Add 24 and 1 to get 25.

$$\frac{\frac{55}{3}}{\frac{25}{3}}$$

Divide \frac{55}{3} by \frac{25}{3} by multiplying \frac{55}{3} by the reciprocal of \frac{25}{3}.

$$\frac{55}{3}\times \frac{3}{25}$$

Multiply \frac{55}{3} times \frac{3}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{55\times 3}{3\times 25}$$

Cancel out 3 in both numerator and denominator.

$$\frac{55}{25}$$

Reduce the fraction \frac{55}{25} to lowest terms by extracting and canceling out 5.

$$\frac{11}{5}$$

Factor

$$\frac{11}{5} = 2\frac{1}{5} = 2.2$$