Solve 101/2div13/5

$$10 \frac { 1 } { 2 } \div 1 \frac { 3 } { 5 }$$

Evaluate

$$\frac{105}{16}=6.5625$$

Solution Steps

Divide \frac{10\times 2+1}{2} by \frac{1\times 5+3}{5} by multiplying \frac{10\times 2+1}{2} by the reciprocal of \frac{1\times 5+3}{5}.

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

Multiply 10 and 2 to get 20.

$$\frac{\left(20+1\right)\times 5}{2\left(1\times 5+3\right)}$$

Add 20 and 1 to get 21.

$$\frac{21\times 5}{2\left(1\times 5+3\right)}$$

Multiply 21 and 5 to get 105.

$$\frac{105}{2\left(1\times 5+3\right)}$$

Multiply 1 and 5 to get 5.

$$\frac{105}{2\left(5+3\right)}$$

Add 5 and 3 to get 8.

$$\frac{105}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$\frac{105}{16}$$

Factor

$$\frac{3 \cdot 5 \cdot 7}{2 ^ {4}} = 6\frac{9}{16} = 6.5625$$