Solve 23/4div11/2

$$2 \frac { 3 } { 4 } \div 1 \frac { 1 } { 2 }$$

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Divide \frac{2\times 4+3}{4} by \frac{1\times 2+1}{2} by multiplying \frac{2\times 4+3}{4} by the reciprocal of \frac{1\times 2+1}{2}.

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 4 to get 8.

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

Add 3 and 8 to get 11.

$$\frac{11}{2\left(1+2\right)}$$

Add 1 and 2 to get 3.

$$\frac{11}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$