Solve 4/5*[5*8/7*8*3/8*7]

$$\frac { 4 } { 5 } \times [ \frac { 5 \times 8 } { 7 \times 8 } \times \frac { 3 } { 8 \times 7 } ]$$

Evaluate

$$\frac{3}{98}\approx 0.030612245$$

Solution Steps

Cancel out 8 in both numerator and denominator.

$$\frac{4}{5}\times \frac{5}{7}\times \frac{3}{8\times 7}$$

Multiply \frac{4}{5} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 5}{5\times 7}\times \frac{3}{8\times 7}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4}{7}\times \frac{3}{8\times 7}$$

Multiply 8 and 7 to get 56.

$$\frac{4}{7}\times \frac{3}{56}$$

Multiply \frac{4}{7} times \frac{3}{56} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 3}{7\times 56}$$

Do the multiplications in the fraction \frac{4\times 3}{7\times 56}.

$$\frac{12}{392}$$

Reduce the fraction \frac{12}{392} to lowest terms by extracting and canceling out 4.

$$\frac{3}{98}$$

Factor

$$\frac{3}{2 \cdot 7 ^ {2}} = 0.030612244897959183$$