Solve 14/7div21/3*43/22

$$1 \frac{ 4 }{ 7 } \div 2 \frac{ 1 }{ 3 } \times 4 \frac{ 3 }{ 22 }$$

Evaluate

$$\frac{39}{14}\approx 2.785714286$$

Solution Steps

Divide \frac{1\times 7+4}{7} by \frac{2\times 3+1}{3} by multiplying \frac{1\times 7+4}{7} by the reciprocal of \frac{2\times 3+1}{3}.

$$\frac{\left(1\times 7+4\right)\times 3}{7\left(2\times 3+1\right)}\times \frac{4\times 22+3}{22}$$

Multiply 1 and 7 to get 7.

$$\frac{\left(7+4\right)\times 3}{7\left(2\times 3+1\right)}\times \frac{4\times 22+3}{22}$$

Add 7 and 4 to get 11.

$$\frac{11\times 3}{7\left(2\times 3+1\right)}\times \frac{4\times 22+3}{22}$$

Multiply 11 and 3 to get 33.

$$\frac{33}{7\left(2\times 3+1\right)}\times \frac{4\times 22+3}{22}$$

Multiply 2 and 3 to get 6.

$$\frac{33}{7\left(6+1\right)}\times \frac{4\times 22+3}{22}$$

Add 6 and 1 to get 7.

$$\frac{33}{7\times 7}\times \frac{4\times 22+3}{22}$$

Multiply 7 and 7 to get 49.

$$\frac{33}{49}\times \frac{4\times 22+3}{22}$$

Multiply 4 and 22 to get 88.

$$\frac{33}{49}\times \frac{88+3}{22}$$

Add 88 and 3 to get 91.

$$\frac{33}{49}\times \frac{91}{22}$$

Multiply \frac{33}{49} times \frac{91}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 91}{49\times 22}$$

Do the multiplications in the fraction \frac{33\times 91}{49\times 22}.

$$\frac{3003}{1078}$$

Reduce the fraction \frac{3003}{1078} to lowest terms by extracting and canceling out 77.

$$\frac{39}{14}$$

Factor

$$\frac{3 \cdot 13}{2 \cdot 7} = 2\frac{11}{14} = 2.7857142857142856$$