Solve 41/2/6-frac{2{3}}=

$$\frac { 4 \frac { 1 } { 2 } } { 6 - \frac { 2 } { 3 } } =$$

Evaluate

$$\frac{27}{32}=0.84375$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{\frac{8+1}{2}}{6-\frac{2}{3}}$$

Add 8 and 1 to get 9.

$$\frac{\frac{9}{2}}{6-\frac{2}{3}}$$

Convert 6 to fraction \frac{18}{3}.

$$\frac{\frac{9}{2}}{\frac{18}{3}-\frac{2}{3}}$$

Since \frac{18}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9}{2}}{\frac{18-2}{3}}$$

Subtract 2 from 18 to get 16.

$$\frac{\frac{9}{2}}{\frac{16}{3}}$$

Divide \frac{9}{2} by \frac{16}{3} by multiplying \frac{9}{2} by the reciprocal of \frac{16}{3}.

$$\frac{9}{2}\times \frac{3}{16}$$

Multiply \frac{9}{2} times \frac{3}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 3}{2\times 16}$$

Do the multiplications in the fraction \frac{9\times 3}{2\times 16}.

$$\frac{27}{32}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {5}} = 0.84375$$