Solve 21/2div43/8

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

Evaluate

$$\frac{4}{7}\approx 0.571428571$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 2 to get 4.

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

Add 1 and 4 to get 5.

$$\frac{4\times 5}{3+4\times 8}$$

Multiply 4 and 5 to get 20.

$$\frac{20}{3+4\times 8}$$

Multiply 4 and 8 to get 32.

$$\frac{20}{3+32}$$

Add 3 and 32 to get 35.

$$\frac{20}{35}$$

Reduce the fraction \frac{20}{35} to lowest terms by extracting and canceling out 5.

$$\frac{4}{7}$$

Factor

$$\frac{2 ^ {2}}{7} = 0.5714285714285714$$