Solve {r}{102/3}{*73/8}

$$\left. \begin{array} { r } { 10 \frac { 2 } { 3 } } \\ { \times 7 \frac { 3 } { 8 } } \end{array} \right.$$

Evaluate

$$\frac{236}{3}\approx 78.666666667$$

Solution Steps

Multiply 10 and 3 to get 30.

$$\frac{30+2}{3}\times \frac{7\times 8+3}{8}$$

Add 30 and 2 to get 32.

$$\frac{32}{3}\times \frac{7\times 8+3}{8}$$

Multiply 7 and 8 to get 56.

$$\frac{32}{3}\times \frac{56+3}{8}$$

Add 56 and 3 to get 59.

$$\frac{32}{3}\times \frac{59}{8}$$

Multiply \frac{32}{3} times \frac{59}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 59}{3\times 8}$$

Do the multiplications in the fraction \frac{32\times 59}{3\times 8}.

$$\frac{1888}{24}$$

Reduce the fraction \frac{1888}{24} to lowest terms by extracting and canceling out 8.

$$\frac{236}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 59}{3} = 78\frac{2}{3} = 78.66666666666667$$