Solve 55/6div12/3

$$5 \frac { 5 } { 6 } \div 1 \frac { 2 } { 3 }$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Divide \frac{5\times 6+5}{6} by \frac{1\times 3+2}{3} by multiplying \frac{5\times 6+5}{6} by the reciprocal of \frac{1\times 3+2}{3}.

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

Cancel out 3 in both numerator and denominator.

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

Multiply 5 and 6 to get 30.

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

Add 5 and 30 to get 35.

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

Add 2 and 3 to get 5.

$$\frac{35}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{35}{10}$$

Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$