Solve 11/26*52*31/13*16/7*5/33

$$\frac { 11 } { 26 } \times 52 \times 3 \frac { 1 } { 13 } \times 1 \frac { 6 } { 7 } \times \frac { 5 } { 33 }$$

Evaluate

$$\frac{400}{21}\approx 19.047619048$$

Solution Steps

Express \frac{11}{26}\times 52 as a single fraction.

$$\frac{11\times 52}{26}\times \frac{3\times 13+1}{13}\times \frac{1\times 7+6}{7}\times \frac{5}{33}$$

Multiply 11 and 52 to get 572.

$$\frac{572}{26}\times \frac{3\times 13+1}{13}\times \frac{1\times 7+6}{7}\times \frac{5}{33}$$

Divide 572 by 26 to get 22.

$$22\times \frac{3\times 13+1}{13}\times \frac{1\times 7+6}{7}\times \frac{5}{33}$$

Multiply 3 and 13 to get 39.

$$22\times \frac{39+1}{13}\times \frac{1\times 7+6}{7}\times \frac{5}{33}$$

Add 39 and 1 to get 40.

$$22\times \frac{40}{13}\times \frac{1\times 7+6}{7}\times \frac{5}{33}$$

Express 22\times \frac{40}{13} as a single fraction.

$$\frac{22\times 40}{13}\times \frac{1\times 7+6}{7}\times \frac{5}{33}$$

Multiply 22 and 40 to get 880.

$$\frac{880}{13}\times \frac{1\times 7+6}{7}\times \frac{5}{33}$$

Multiply 1 and 7 to get 7.

$$\frac{880}{13}\times \frac{7+6}{7}\times \frac{5}{33}$$

Add 7 and 6 to get 13.

$$\frac{880}{13}\times \frac{13}{7}\times \frac{5}{33}$$

Multiply \frac{880}{13} times \frac{13}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{880\times 13}{13\times 7}\times \frac{5}{33}$$

Cancel out 13 in both numerator and denominator.

$$\frac{880}{7}\times \frac{5}{33}$$

Multiply \frac{880}{7} times \frac{5}{33} by multiplying numerator times numerator and denominator times denominator.

$$\frac{880\times 5}{7\times 33}$$

Do the multiplications in the fraction \frac{880\times 5}{7\times 33}.

$$\frac{4400}{231}$$

Reduce the fraction \frac{4400}{231} to lowest terms by extracting and canceling out 11.

$$\frac{400}{21}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {2}}{3 \cdot 7} = 19\frac{1}{21} = 19.047619047619047$$