Solve 53/8div21/3

$$5 \frac { 3 } { 8 } \div 2 \frac { 1 } { 3 }$$

Evaluate

$$\frac{129}{56}\approx 2.303571429$$

Solution Steps

Divide \frac{5\times 8+3}{8} by \frac{2\times 3+1}{3} by multiplying \frac{5\times 8+3}{8} by the reciprocal of \frac{2\times 3+1}{3}.

$$\frac{\left(5\times 8+3\right)\times 3}{8\left(2\times 3+1\right)}$$

Multiply 5 and 8 to get 40.

$$\frac{\left(40+3\right)\times 3}{8\left(2\times 3+1\right)}$$

Add 40 and 3 to get 43.

$$\frac{43\times 3}{8\left(2\times 3+1\right)}$$

Multiply 43 and 3 to get 129.

$$\frac{129}{8\left(2\times 3+1\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{129}{8\left(6+1\right)}$$

Add 6 and 1 to get 7.

$$\frac{129}{8\times 7}$$

Multiply 8 and 7 to get 56.

$$\frac{129}{56}$$

Factor

$$\frac{3 \cdot 43}{2 ^ {3} \cdot 7} = 2\frac{17}{56} = 2.3035714285714284$$