Solve 43/8*3/5div(51/4div3

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

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Multiply 4 and 8 to get 32.

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

Add 32 and 3 to get 35.

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

Multiply \frac{35}{8} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{35\times 3}{8\times 5}.

$$\frac{\frac{105}{40}}{\frac{\frac{5\times 4+1}{4}}{3}}$$

Reduce the fraction \frac{105}{40} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{21}{8}}{\frac{\frac{5\times 4+1}{4}}{3}}$$

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

$$\frac{\frac{21}{8}}{\frac{5\times 4+1}{4\times 3}}$$

Multiply 5 and 4 to get 20.

$$\frac{\frac{21}{8}}{\frac{20+1}{4\times 3}}$$

Add 20 and 1 to get 21.

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

Multiply 4 and 3 to get 12.

$$\frac{\frac{21}{8}}{\frac{21}{12}}$$

Reduce the fraction \frac{21}{12} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{21}{8}}{\frac{7}{4}}$$

Divide \frac{21}{8} by \frac{7}{4} by multiplying \frac{21}{8} by the reciprocal of \frac{7}{4}.

$$\frac{21}{8}\times \frac{4}{7}$$

Multiply \frac{21}{8} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 4}{8\times 7}$$

Do the multiplications in the fraction \frac{21\times 4}{8\times 7}.

$$\frac{84}{56}$$

Reduce the fraction \frac{84}{56} to lowest terms by extracting and canceling out 28.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$