Solve 1/2*82/9

$$\frac { 1 } { 2 } \times 8 \frac { 2 } { 9 }$$

Evaluate

$$\frac{37}{9}\approx 4.111111111$$

Solution Steps

Multiply 8 and 9 to get 72.

$$\frac{1}{2}\times \frac{72+2}{9}$$

Add 72 and 2 to get 74.

$$\frac{1}{2}\times \frac{74}{9}$$

Multiply \frac{1}{2} times \frac{74}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 74}{2\times 9}$$

Do the multiplications in the fraction \frac{1\times 74}{2\times 9}.

$$\frac{74}{18}$$

Reduce the fraction \frac{74}{18} to lowest terms by extracting and canceling out 2.

$$\frac{37}{9}$$

Factor

$$\frac{37}{3 ^ {2}} = 4\frac{1}{9} = 4.111111111111111$$