Solve 43/8div21/3

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

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Divide \frac{4\times 8+3}{8} by \frac{2\times 3+1}{3} by multiplying \frac{4\times 8+3}{8} by the reciprocal of \frac{2\times 3+1}{3}.

$$\frac{\left(4\times 8+3\right)\times 3}{8\left(2\times 3+1\right)}$$

Multiply 4 and 8 to get 32.

$$\frac{\left(32+3\right)\times 3}{8\left(2\times 3+1\right)}$$

Add 32 and 3 to get 35.

$$\frac{35\times 3}{8\left(2\times 3+1\right)}$$

Multiply 35 and 3 to get 105.

$$\frac{105}{8\left(2\times 3+1\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{105}{8\left(6+1\right)}$$

Add 6 and 1 to get 7.

$$\frac{105}{8\times 7}$$

Multiply 8 and 7 to get 56.

$$\frac{105}{56}$$

Reduce the fraction \frac{105}{56} to lowest terms by extracting and canceling out 7.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$