Solve 31/2/5frac{1{2}}=

$$\frac { 3 \frac { 1 } { 2 } } { 5 \frac { 1 } { 2 } } =$$

Evaluate

$$\frac{7}{11}\approx 0.636363636$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 3 to get 6.

$$\frac{1+6}{1+2\times 5}$$

Add 1 and 6 to get 7.

$$\frac{7}{1+2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{7}{1+10}$$

Add 1 and 10 to get 11.

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

Factor

$$\frac{7}{11} = 0.6363636363636364$$