Solve 101/2div31/8

$$10 \frac { 1 } { 2 } \div 3 \frac { 1 } { 8 }$$

Evaluate

$$\frac{84}{25}=3.36$$

Solution Steps

Divide \frac{10\times 2+1}{2} by \frac{3\times 8+1}{8} by multiplying \frac{10\times 2+1}{2} by the reciprocal of \frac{3\times 8+1}{8}.

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 10 to get 20.

$$\frac{4\left(1+20\right)}{1+3\times 8}$$

Add 1 and 20 to get 21.

$$\frac{4\times 21}{1+3\times 8}$$

Multiply 4 and 21 to get 84.

$$\frac{84}{1+3\times 8}$$

Multiply 3 and 8 to get 24.

$$\frac{84}{1+24}$$

Add 1 and 24 to get 25.

$$\frac{84}{25}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 7}{5 ^ {2}} = 3\frac{9}{25} = 3.36$$