Solve 43/8*(3/5div51/4div3)

$$4 \frac { 3 } { 8 } \times ( \frac { 3 } { 5 } \div 5 \frac { 1 } { 4 } \div 3 )$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+3}{8}\times \frac{\frac{\frac{3}{5}}{\frac{5\times 4+1}{4}}}{3}$$

Add 32 and 3 to get 35.

$$\frac{35}{8}\times \frac{\frac{\frac{3}{5}}{\frac{5\times 4+1}{4}}}{3}$$

Express \frac{\frac{\frac{3}{5}}{\frac{5\times 4+1}{4}}}{3} as a single fraction.

$$\frac{35}{8}\times \frac{\frac{3}{5}}{\frac{5\times 4+1}{4}\times 3}$$

Multiply 5 and 4 to get 20.

$$\frac{35}{8}\times \frac{\frac{3}{5}}{\frac{20+1}{4}\times 3}$$

Add 20 and 1 to get 21.

$$\frac{35}{8}\times \frac{\frac{3}{5}}{\frac{21}{4}\times 3}$$

Express \frac{21}{4}\times 3 as a single fraction.

$$\frac{35}{8}\times \frac{\frac{3}{5}}{\frac{21\times 3}{4}}$$

Multiply 21 and 3 to get 63.

$$\frac{35}{8}\times \frac{\frac{3}{5}}{\frac{63}{4}}$$

Divide \frac{3}{5} by \frac{63}{4} by multiplying \frac{3}{5} by the reciprocal of \frac{63}{4}.

$$\frac{35}{8}\times \frac{3}{5}\times \frac{4}{63}$$

Multiply \frac{3}{5} times \frac{4}{63} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35}{8}\times \frac{3\times 4}{5\times 63}$$

Do the multiplications in the fraction \frac{3\times 4}{5\times 63}.

$$\frac{35}{8}\times \frac{12}{315}$$

Reduce the fraction \frac{12}{315} to lowest terms by extracting and canceling out 3.

$$\frac{35}{8}\times \frac{4}{105}$$

Multiply \frac{35}{8} times \frac{4}{105} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 4}{8\times 105}$$

Do the multiplications in the fraction \frac{35\times 4}{8\times 105}.

$$\frac{140}{840}$$

Reduce the fraction \frac{140}{840} to lowest terms by extracting and canceling out 140.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$