Solve 43/5div21/3

$$4 \frac { 3 } { 5 } \div 2 \frac { 1 } { 3 }$$

Evaluate

$$\frac{69}{35}\approx 1.971428571$$

Solution Steps

Divide \frac{4\times 5+3}{5} by \frac{2\times 3+1}{3} by multiplying \frac{4\times 5+3}{5} by the reciprocal of \frac{2\times 3+1}{3}.

$$\frac{\left(4\times 5+3\right)\times 3}{5\left(2\times 3+1\right)}$$

Multiply 4 and 5 to get 20.

$$\frac{\left(20+3\right)\times 3}{5\left(2\times 3+1\right)}$$

Add 20 and 3 to get 23.

$$\frac{23\times 3}{5\left(2\times 3+1\right)}$$

Multiply 23 and 3 to get 69.

$$\frac{69}{5\left(2\times 3+1\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{69}{5\left(6+1\right)}$$

Add 6 and 1 to get 7.

$$\frac{69}{5\times 7}$$

Multiply 5 and 7 to get 35.

$$\frac{69}{35}$$

Factor

$$\frac{3 \cdot 23}{5 \cdot 7} = 1\frac{34}{35} = 1.9714285714285715$$