Solve 56div(56+3*17)*32div(3*56/3*56+4*16)=

$$56 \div (56+3 \times 17) \times 32 \div ( \frac{ 3 \times 56 }{ 3 \times 56+4 \times 16 } )=$$

Evaluate

$$\frac{7424}{321}\approx 23.127725857$$

Solution Steps

Multiply 3 and 17 to get 51.

$$\frac{\frac{56}{56+51}\times 32}{\frac{3\times 56}{3\times 56+4\times 16}}$$

Add 56 and 51 to get 107.

$$\frac{\frac{56}{107}\times 32}{\frac{3\times 56}{3\times 56+4\times 16}}$$

Express \frac{56}{107}\times 32 as a single fraction.

$$\frac{\frac{56\times 32}{107}}{\frac{3\times 56}{3\times 56+4\times 16}}$$

Multiply 56 and 32 to get 1792.

$$\frac{\frac{1792}{107}}{\frac{3\times 56}{3\times 56+4\times 16}}$$

Multiply 3 and 56 to get 168.

$$\frac{\frac{1792}{107}}{\frac{168}{3\times 56+4\times 16}}$$

Multiply 3 and 56 to get 168. Multiply 4 and 16 to get 64.

$$\frac{\frac{1792}{107}}{\frac{168}{168+64}}$$

Add 168 and 64 to get 232.

$$\frac{\frac{1792}{107}}{\frac{168}{232}}$$

Reduce the fraction \frac{168}{232} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{1792}{107}}{\frac{21}{29}}$$

Divide \frac{1792}{107} by \frac{21}{29} by multiplying \frac{1792}{107} by the reciprocal of \frac{21}{29}.

$$\frac{1792}{107}\times \frac{29}{21}$$

Multiply \frac{1792}{107} times \frac{29}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1792\times 29}{107\times 21}$$

Do the multiplications in the fraction \frac{1792\times 29}{107\times 21}.

$$\frac{51968}{2247}$$

Reduce the fraction \frac{51968}{2247} to lowest terms by extracting and canceling out 7.

$$\frac{7424}{321}$$

Factor

$$\frac{2 ^ {8} \cdot 29}{3 \cdot 107} = 23\frac{41}{321} = 23.12772585669782$$