Solve 2/2/frac{7{16}}8/7/frac{7{16}}

$$\frac { \frac { 2 } { 2 } } { \frac { 7 } { 16 } } \frac { \frac { 8 } { 7 } } { \frac { 7 } { 16 } }$$

Evaluate

$$\frac{2048}{343}\approx 5.970845481$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{1}{\frac{7}{16}}\times \frac{\frac{8}{7}}{\frac{7}{16}}$$

Divide 1 by \frac{7}{16} by multiplying 1 by the reciprocal of \frac{7}{16}.

$$1\times \frac{16}{7}\times \frac{\frac{8}{7}}{\frac{7}{16}}$$

Multiply 1 and \frac{16}{7} to get \frac{16}{7}.

$$\frac{16}{7}\times \frac{\frac{8}{7}}{\frac{7}{16}}$$

Divide \frac{8}{7} by \frac{7}{16} by multiplying \frac{8}{7} by the reciprocal of \frac{7}{16}.

$$\frac{16}{7}\times \frac{8}{7}\times \frac{16}{7}$$

Multiply \frac{8}{7} times \frac{16}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16}{7}\times \frac{8\times 16}{7\times 7}$$

Do the multiplications in the fraction \frac{8\times 16}{7\times 7}.

$$\frac{16}{7}\times \frac{128}{49}$$

Multiply \frac{16}{7} times \frac{128}{49} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 128}{7\times 49}$$

Do the multiplications in the fraction \frac{16\times 128}{7\times 49}.

$$\frac{2048}{343}$$

Factor

$$\frac{2 ^ {11}}{7 ^ {3}} = 5\frac{333}{343} = 5.970845481049563$$