Solve 8/7*12/7*1/2*frac{7sqrt{5}}{27}

$$\frac { 8 } { 7 } \times \frac { 12 } { 7 } \times \frac { 1 } { 2 } \times \frac { 7 \sqrt { 5 } } { 27 }$$

Evaluate

$$\frac{16\sqrt{5}}{63}\approx 0.56789028$$

Solution Steps

Multiply \frac{8}{7} times \frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 12}{7\times 7}\times \frac{1}{2}\times \frac{7\sqrt{5}}{27}$$

Do the multiplications in the fraction \frac{8\times 12}{7\times 7}.

$$\frac{96}{49}\times \frac{1}{2}\times \frac{7\sqrt{5}}{27}$$

Multiply \frac{96}{49} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{96\times 1}{49\times 2}\times \frac{7\sqrt{5}}{27}$$

Do the multiplications in the fraction \frac{96\times 1}{49\times 2}.

$$\frac{96}{98}\times \frac{7\sqrt{5}}{27}$$

Reduce the fraction \frac{96}{98} to lowest terms by extracting and canceling out 2.

$$\frac{48}{49}\times \frac{7\sqrt{5}}{27}$$

Multiply \frac{48}{49} times \frac{7\sqrt{5}}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{48\times 7\sqrt{5}}{49\times 27}$$

Cancel out 3\times 7 in both numerator and denominator.

$$\frac{16\sqrt{5}}{7\times 9}$$

Multiply 7 and 9 to get 63.

$$\frac{16\sqrt{5}}{63}$$