Solve 155/8div21/2

$$15 \frac{ 5 }{ 8 } \div 2 \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{25}{4}=6.25$$

Solution Steps

Divide \frac{15\times 8+5}{8} by \frac{2\times 2+1}{2} by multiplying \frac{15\times 8+5}{8} by the reciprocal of \frac{2\times 2+1}{2}.

$$\frac{\left(15\times 8+5\right)\times 2}{8\left(2\times 2+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{5+8\times 15}{4\left(1+2\times 2\right)}$$

Multiply 8 and 15 to get 120.

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

Add 5 and 120 to get 125.

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

Multiply 2 and 2 to get 4.

$$\frac{125}{4\left(1+4\right)}$$

Add 1 and 4 to get 5.

$$\frac{125}{4\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{125}{20}$$

Reduce the fraction \frac{125}{20} to lowest terms by extracting and canceling out 5.

$$\frac{25}{4}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$$