Solve 43/8*14/7div21/4

$$4 \frac { 3 } { 8 } \times 1 \frac { 4 } { 7 } \div 2 \frac { 1 } { 4 }$$

Evaluate

$$\frac{55}{18}\approx 3.055555556$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{\frac{32+3}{8}\times \frac{1\times 7+4}{7}}{\frac{2\times 4+1}{4}}$$

Add 32 and 3 to get 35.

$$\frac{\frac{35}{8}\times \frac{1\times 7+4}{7}}{\frac{2\times 4+1}{4}}$$

Multiply 1 and 7 to get 7.

$$\frac{\frac{35}{8}\times \frac{7+4}{7}}{\frac{2\times 4+1}{4}}$$

Add 7 and 4 to get 11.

$$\frac{\frac{35}{8}\times \frac{11}{7}}{\frac{2\times 4+1}{4}}$$

Multiply \frac{35}{8} times \frac{11}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{35\times 11}{8\times 7}}{\frac{2\times 4+1}{4}}$$

Do the multiplications in the fraction \frac{35\times 11}{8\times 7}.

$$\frac{\frac{385}{56}}{\frac{2\times 4+1}{4}}$$

Reduce the fraction \frac{385}{56} to lowest terms by extracting and canceling out 7.

$$\frac{\frac{55}{8}}{\frac{2\times 4+1}{4}}$$

Multiply 2 and 4 to get 8.

$$\frac{\frac{55}{8}}{\frac{8+1}{4}}$$

Add 8 and 1 to get 9.

$$\frac{\frac{55}{8}}{\frac{9}{4}}$$

Divide \frac{55}{8} by \frac{9}{4} by multiplying \frac{55}{8} by the reciprocal of \frac{9}{4}.

$$\frac{55}{8}\times \frac{4}{9}$$

Multiply \frac{55}{8} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{55\times 4}{8\times 9}$$

Do the multiplications in the fraction \frac{55\times 4}{8\times 9}.

$$\frac{220}{72}$$

Reduce the fraction \frac{220}{72} to lowest terms by extracting and canceling out 4.

$$\frac{55}{18}$$

Factor

$$\frac{5 \cdot 11}{2 \cdot 3 ^ {2}} = 3\frac{1}{18} = 3.0555555555555554$$