Solve 1/8quad1/4quad3/8quad1/2quadfrac{5}{8}quadfrac{3}{4}quadfrac{7}{8}

$$\frac { 1 } { 8 } \quad \frac { 1 } { 4 } \quad \frac { 3 } { 8 } \quad \frac { 1 } { 2 } \quad \frac { 5 } { 8 } \quad \frac { 3 } { 4 } \quad \frac { 7 } { 8 }$$

Evaluate

$$\frac{315}{131072}\approx 0.002403259$$

Solution Steps

Multiply \frac{1}{8} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{8\times 4}\times \frac{3}{8}\times \frac{1}{2}\times \frac{5}{8}\times \frac{3}{4}\times \frac{7}{8}$$

Do the multiplications in the fraction \frac{1\times 1}{8\times 4}.

$$\frac{1}{32}\times \frac{3}{8}\times \frac{1}{2}\times \frac{5}{8}\times \frac{3}{4}\times \frac{7}{8}$$

Multiply \frac{1}{32} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{32\times 8}\times \frac{1}{2}\times \frac{5}{8}\times \frac{3}{4}\times \frac{7}{8}$$

Do the multiplications in the fraction \frac{1\times 3}{32\times 8}.

$$\frac{3}{256}\times \frac{1}{2}\times \frac{5}{8}\times \frac{3}{4}\times \frac{7}{8}$$

Multiply \frac{3}{256} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{256\times 2}\times \frac{5}{8}\times \frac{3}{4}\times \frac{7}{8}$$

Do the multiplications in the fraction \frac{3\times 1}{256\times 2}.

$$\frac{3}{512}\times \frac{5}{8}\times \frac{3}{4}\times \frac{7}{8}$$

Multiply \frac{3}{512} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{512\times 8}\times \frac{3}{4}\times \frac{7}{8}$$

Do the multiplications in the fraction \frac{3\times 5}{512\times 8}.

$$\frac{15}{4096}\times \frac{3}{4}\times \frac{7}{8}$$

Multiply \frac{15}{4096} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 3}{4096\times 4}\times \frac{7}{8}$$

Do the multiplications in the fraction \frac{15\times 3}{4096\times 4}.

$$\frac{45}{16384}\times \frac{7}{8}$$

Multiply \frac{45}{16384} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 7}{16384\times 8}$$

Do the multiplications in the fraction \frac{45\times 7}{16384\times 8}.

$$\frac{315}{131072}$$

Factor

$$\frac{3 ^ {2} \cdot 5 \cdot 7}{2 ^ {17}} = 0.00240325927734375$$