Solve 55/6div21/2

$$5 \frac { 5 } { 6 } \div 2 \frac { 1 } { 2 }$$

Evaluate

$$\frac{7}{3}\approx 2.333333333$$

Solution Steps

Divide \frac{5\times 6+5}{6} by \frac{2\times 2+1}{2} by multiplying \frac{5\times 6+5}{6} by the reciprocal of \frac{2\times 2+1}{2}.

$$\frac{\left(5\times 6+5\right)\times 2}{6\left(2\times 2+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{5+5\times 6}{3\left(1+2\times 2\right)}$$

Multiply 5 and 6 to get 30.

$$\frac{5+30}{3\left(1+2\times 2\right)}$$

Add 5 and 30 to get 35.

$$\frac{35}{3\left(1+2\times 2\right)}$$

Multiply 2 and 2 to get 4.

$$\frac{35}{3\left(1+4\right)}$$

Add 1 and 4 to get 5.

$$\frac{35}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{35}{15}$$

Reduce the fraction \frac{35}{15} to lowest terms by extracting and canceling out 5.

$$\frac{7}{3}$$

Factor

$$\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335$$