Solve 86*3*11/8*6*7/8

$$86 \times 3 \times 1 \frac { 1 } { 8 } \times 6 \times \frac { 7 } { 8 }$$

Evaluate

$$\frac{24381}{16}=1523.8125$$

Solution Steps

Multiply 86 and 3 to get 258.

$$258\times \frac{1\times 8+1}{8}\times 6\times \frac{7}{8}$$

Multiply 1 and 8 to get 8.

$$258\times \frac{8+1}{8}\times 6\times \frac{7}{8}$$

Add 8 and 1 to get 9.

$$258\times \frac{9}{8}\times 6\times \frac{7}{8}$$

Express 258\times \frac{9}{8} as a single fraction.

$$\frac{258\times 9}{8}\times 6\times \frac{7}{8}$$

Multiply 258 and 9 to get 2322.

$$\frac{2322}{8}\times 6\times \frac{7}{8}$$

Reduce the fraction \frac{2322}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1161}{4}\times 6\times \frac{7}{8}$$

Express \frac{1161}{4}\times 6 as a single fraction.

$$\frac{1161\times 6}{4}\times \frac{7}{8}$$

Multiply 1161 and 6 to get 6966.

$$\frac{6966}{4}\times \frac{7}{8}$$

Reduce the fraction \frac{6966}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3483}{2}\times \frac{7}{8}$$

Multiply \frac{3483}{2} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3483\times 7}{2\times 8}$$

Do the multiplications in the fraction \frac{3483\times 7}{2\times 8}.

$$\frac{24381}{16}$$

Factor

$$\frac{3 ^ {4} \cdot 7 \cdot 43}{2 ^ {4}} = 1523\frac{13}{16} = 1523.8125$$