Solve 11/26*52*31/13*16/7*5/3

$$\frac { 11 } { 26 } \times 52 \times 3 \frac { 1 } { 13 } \times \frac { 16 } { 7 } \times \frac { 5 } { 3 }$$

Evaluate

$$\frac{70400}{273}\approx 257.875457875$$

Solution Steps

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

$$\frac{11\times 52}{26}\times \frac{3\times 13+1}{13}\times \frac{16}{7}\times \frac{5}{3}$$

Multiply 11 and 52 to get 572.

$$\frac{572}{26}\times \frac{3\times 13+1}{13}\times \frac{16}{7}\times \frac{5}{3}$$

Divide 572 by 26 to get 22.

$$22\times \frac{3\times 13+1}{13}\times \frac{16}{7}\times \frac{5}{3}$$

Multiply 3 and 13 to get 39.

$$22\times \frac{39+1}{13}\times \frac{16}{7}\times \frac{5}{3}$$

Add 39 and 1 to get 40.

$$22\times \frac{40}{13}\times \frac{16}{7}\times \frac{5}{3}$$

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

$$\frac{22\times 40}{13}\times \frac{16}{7}\times \frac{5}{3}$$

Multiply 22 and 40 to get 880.

$$\frac{880}{13}\times \frac{16}{7}\times \frac{5}{3}$$

Multiply \frac{880}{13} times \frac{16}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{880\times 16}{13\times 7}\times \frac{5}{3}$$

Do the multiplications in the fraction \frac{880\times 16}{13\times 7}.

$$\frac{14080}{91}\times \frac{5}{3}$$

Multiply \frac{14080}{91} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14080\times 5}{91\times 3}$$

Do the multiplications in the fraction \frac{14080\times 5}{91\times 3}.

$$\frac{70400}{273}$$

Factor

$$\frac{2 ^ {8} \cdot 5 ^ {2} \cdot 11}{3 \cdot 7 \cdot 13} = 257\frac{239}{273} = 257.87545787545787$$