Solve 15/16*12/25*11/9*63/4*frac{2}{11}*8frac{1}{4}

$$\frac{ 15 }{ 16 } \times \frac{ 12 }{ 25 } \times 1 \frac { 1 } { 9 } \times 6 \frac { 3 } { 4 } \times \frac{ 2 }{ 11 } \times 8 \frac { 1 } { 4 }$$

Evaluate

$$\frac{81}{16}=5.0625$$

Solution Steps

Multiply \frac{15}{16} times \frac{12}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 12}{16\times 25}\times \frac{1\times 9+1}{9}\times \frac{6\times 4+3}{4}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Do the multiplications in the fraction \frac{15\times 12}{16\times 25}.

$$\frac{180}{400}\times \frac{1\times 9+1}{9}\times \frac{6\times 4+3}{4}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Reduce the fraction \frac{180}{400} to lowest terms by extracting and canceling out 20.

$$\frac{9}{20}\times \frac{1\times 9+1}{9}\times \frac{6\times 4+3}{4}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Multiply 1 and 9 to get 9.

$$\frac{9}{20}\times \frac{9+1}{9}\times \frac{6\times 4+3}{4}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Add 9 and 1 to get 10.

$$\frac{9}{20}\times \frac{10}{9}\times \frac{6\times 4+3}{4}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Multiply \frac{9}{20} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 10}{20\times 9}\times \frac{6\times 4+3}{4}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Cancel out 9 in both numerator and denominator.

$$\frac{10}{20}\times \frac{6\times 4+3}{4}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Reduce the fraction \frac{10}{20} to lowest terms by extracting and canceling out 10.

$$\frac{1}{2}\times \frac{6\times 4+3}{4}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Multiply 6 and 4 to get 24.

$$\frac{1}{2}\times \frac{24+3}{4}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Add 24 and 3 to get 27.

$$\frac{1}{2}\times \frac{27}{4}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Multiply \frac{1}{2} times \frac{27}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 27}{2\times 4}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Do the multiplications in the fraction \frac{1\times 27}{2\times 4}.

$$\frac{27}{8}\times \frac{2}{11}\times \frac{8\times 4+1}{4}$$

Multiply \frac{27}{8} times \frac{2}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 2}{8\times 11}\times \frac{8\times 4+1}{4}$$

Do the multiplications in the fraction \frac{27\times 2}{8\times 11}.

$$\frac{54}{88}\times \frac{8\times 4+1}{4}$$

Reduce the fraction \frac{54}{88} to lowest terms by extracting and canceling out 2.

$$\frac{27}{44}\times \frac{8\times 4+1}{4}$$

Multiply 8 and 4 to get 32.

$$\frac{27}{44}\times \frac{32+1}{4}$$

Add 32 and 1 to get 33.

$$\frac{27}{44}\times \frac{33}{4}$$

Multiply \frac{27}{44} times \frac{33}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 33}{44\times 4}$$

Do the multiplications in the fraction \frac{27\times 33}{44\times 4}.

$$\frac{891}{176}$$

Reduce the fraction \frac{891}{176} to lowest terms by extracting and canceling out 11.

$$\frac{81}{16}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {4}} = 5\frac{1}{16} = 5.0625$$