Solve 4/7*1/7*3/7*5/7*frac{6}{7}

$$\frac { 4 } { 7 } \cdot \frac { 1 } { 7 } \cdot \frac { 3 } { 7 } \cdot \frac { 5 } { 7 } \cdot \frac { 6 } { 7 }$$

Evaluate

$$\frac{360}{16807}\approx 0.021419647$$

Solution Steps

Multiply \frac{4}{7} times \frac{1}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 1}{7\times 7}\times \frac{3}{7}\times \frac{5}{7}\times \frac{6}{7}$$

Do the multiplications in the fraction \frac{4\times 1}{7\times 7}.

$$\frac{4}{49}\times \frac{3}{7}\times \frac{5}{7}\times \frac{6}{7}$$

Multiply \frac{4}{49} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 3}{49\times 7}\times \frac{5}{7}\times \frac{6}{7}$$

Do the multiplications in the fraction \frac{4\times 3}{49\times 7}.

$$\frac{12}{343}\times \frac{5}{7}\times \frac{6}{7}$$

Multiply \frac{12}{343} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 5}{343\times 7}\times \frac{6}{7}$$

Do the multiplications in the fraction \frac{12\times 5}{343\times 7}.

$$\frac{60}{2401}\times \frac{6}{7}$$

Multiply \frac{60}{2401} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{60\times 6}{2401\times 7}$$

Do the multiplications in the fraction \frac{60\times 6}{2401\times 7}.

$$\frac{360}{16807}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2} \cdot 5}{7 ^ {5}} = 0.021419646575831498$$