Solve 5/6div31/3

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

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

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

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

Cancel out 3 in both numerator and denominator.

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

Multiply 3 and 3 to get 9.

$$\frac{5}{2\left(1+9\right)}$$

Add 1 and 9 to get 10.

$$\frac{5}{2\times 10}$$

Multiply 2 and 10 to get 20.

$$\frac{5}{20}$$

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

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$