Solve 3/8*21/5*52/3*3/17*frac{5}{11}*frac{8}{3}

$$\frac { 3 } { 8 } \cdot 2 \frac { 1 } { 5 } \cdot 5 \frac { 2 } { 3 } \cdot \frac { 3 } { 17 } \cdot \frac { 5 } { 11 } \cdot \frac { 8 } { 3 }$$

Evaluate

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Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{3}{8}\times \frac{10+1}{5}\times \frac{5\times 3+2}{3}\times \frac{3}{17}\times \frac{5}{11}\times \frac{8}{3}$$

Add 10 and 1 to get 11.

$$\frac{3}{8}\times \frac{11}{5}\times \frac{5\times 3+2}{3}\times \frac{3}{17}\times \frac{5}{11}\times \frac{8}{3}$$

Multiply \frac{3}{8} times \frac{11}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 11}{8\times 5}\times \frac{5\times 3+2}{3}\times \frac{3}{17}\times \frac{5}{11}\times \frac{8}{3}$$

Do the multiplications in the fraction \frac{3\times 11}{8\times 5}.

$$\frac{33}{40}\times \frac{5\times 3+2}{3}\times \frac{3}{17}\times \frac{5}{11}\times \frac{8}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{33}{40}\times \frac{15+2}{3}\times \frac{3}{17}\times \frac{5}{11}\times \frac{8}{3}$$

Add 15 and 2 to get 17.

$$\frac{33}{40}\times \frac{17}{3}\times \frac{3}{17}\times \frac{5}{11}\times \frac{8}{3}$$

Multiply \frac{33}{40} times \frac{17}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 17}{40\times 3}\times \frac{3}{17}\times \frac{5}{11}\times \frac{8}{3}$$

Do the multiplications in the fraction \frac{33\times 17}{40\times 3}.

$$\frac{561}{120}\times \frac{3}{17}\times \frac{5}{11}\times \frac{8}{3}$$

Reduce the fraction \frac{561}{120} to lowest terms by extracting and canceling out 3.

$$\frac{187}{40}\times \frac{3}{17}\times \frac{5}{11}\times \frac{8}{3}$$

Multiply \frac{187}{40} times \frac{3}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{187\times 3}{40\times 17}\times \frac{5}{11}\times \frac{8}{3}$$

Do the multiplications in the fraction \frac{187\times 3}{40\times 17}.

$$\frac{561}{680}\times \frac{5}{11}\times \frac{8}{3}$$

Reduce the fraction \frac{561}{680} to lowest terms by extracting and canceling out 17.

$$\frac{33}{40}\times \frac{5}{11}\times \frac{8}{3}$$

Multiply \frac{33}{40} times \frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 5}{40\times 11}\times \frac{8}{3}$$

Do the multiplications in the fraction \frac{33\times 5}{40\times 11}.

$$\frac{165}{440}\times \frac{8}{3}$$

Reduce the fraction \frac{165}{440} to lowest terms by extracting and canceling out 55.

$$\frac{3}{8}\times \frac{8}{3}$$

Cancel out \frac{3}{8} and its reciprocal \frac{8}{3}.

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Factor

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