Solve 71/9*33/16quad{l}{text{bs}}{1}

$$7 \frac { 1 } { 9 } \times 3 \frac { 3 } { 16 } \quad \left. \begin{array} { l } { \text { bs } } \\ { 1 } \end{array} \right.$$

Evaluate

$$\frac{68}{3}\approx 22.666666667$$

Solution Steps

Multiply 7 and 9 to get 63.

$$\frac{63+1}{9}\times \frac{3\times 16+3}{16}$$

Add 63 and 1 to get 64.

$$\frac{64}{9}\times \frac{3\times 16+3}{16}$$

Multiply 3 and 16 to get 48.

$$\frac{64}{9}\times \frac{48+3}{16}$$

Add 48 and 3 to get 51.

$$\frac{64}{9}\times \frac{51}{16}$$

Multiply \frac{64}{9} times \frac{51}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{64\times 51}{9\times 16}$$

Do the multiplications in the fraction \frac{64\times 51}{9\times 16}.

$$\frac{3264}{144}$$

Reduce the fraction \frac{3264}{144} to lowest terms by extracting and canceling out 48.

$$\frac{68}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 17}{3} = 22\frac{2}{3} = 22.666666666666668$$