Solve 43/8div(521/4*4/5)

$$4 \frac { 3 } { 8 } \div ( 5 \frac { 21 } { 4 } \times \frac { 4 } { 5 } )$$

Evaluate

$$\frac{175}{328}\approx 0.533536585$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{\frac{32+3}{8}}{\frac{5\times 4+21}{4}\times \frac{4}{5}}$$

Add 32 and 3 to get 35.

$$\frac{\frac{35}{8}}{\frac{5\times 4+21}{4}\times \frac{4}{5}}$$

Multiply 5 and 4 to get 20.

$$\frac{\frac{35}{8}}{\frac{20+21}{4}\times \frac{4}{5}}$$

Add 20 and 21 to get 41.

$$\frac{\frac{35}{8}}{\frac{41}{4}\times \frac{4}{5}}$$

Multiply \frac{41}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{35}{8}}{\frac{41\times 4}{4\times 5}}$$

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{35}{8}}{\frac{41}{5}}$$

Divide \frac{35}{8} by \frac{41}{5} by multiplying \frac{35}{8} by the reciprocal of \frac{41}{5}.

$$\frac{35}{8}\times \frac{5}{41}$$

Multiply \frac{35}{8} times \frac{5}{41} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 5}{8\times 41}$$

Do the multiplications in the fraction \frac{35\times 5}{8\times 41}.

$$\frac{175}{328}$$

Factor

$$\frac{5 ^ {2} \cdot 7}{2 ^ {3} \cdot 41} = 0.5335365853658537$$