Solve 31/3*91/9

$$3 \frac { 1 } { 3 } \cdot 9 \frac { 1 } { 9 }$$

Evaluate

$$\frac{820}{27}\approx 30.37037037$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}\times \frac{9\times 9+1}{9}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}\times \frac{9\times 9+1}{9}$$

Multiply 9 and 9 to get 81.

$$\frac{10}{3}\times \frac{81+1}{9}$$

Add 81 and 1 to get 82.

$$\frac{10}{3}\times \frac{82}{9}$$

Multiply \frac{10}{3} times \frac{82}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 82}{3\times 9}$$

Do the multiplications in the fraction \frac{10\times 82}{3\times 9}.

$$\frac{820}{27}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 41}{3 ^ {3}} = 30\frac{10}{27} = 30.37037037037037$$