Solve 1/4*41/2div9/162

$$\frac { 1 } { 4 } \times 4 \frac { 1 } { 2 } \div \frac { 9 } { 16 } 2$$

Evaluate

$$4$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{\frac{1}{4}\times \frac{8+1}{2}}{\frac{9}{16}}\times 2$$

Add 8 and 1 to get 9.

$$\frac{\frac{1}{4}\times \frac{9}{2}}{\frac{9}{16}}\times 2$$

Multiply \frac{1}{4} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 9}{4\times 2}}{\frac{9}{16}}\times 2$$

Do the multiplications in the fraction \frac{1\times 9}{4\times 2}.

$$\frac{\frac{9}{8}}{\frac{9}{16}}\times 2$$

Divide \frac{9}{8} by \frac{9}{16} by multiplying \frac{9}{8} by the reciprocal of \frac{9}{16}.

$$\frac{9}{8}\times \frac{16}{9}\times 2$$

Multiply \frac{9}{8} times \frac{16}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 16}{8\times 9}\times 2$$

Cancel out 9 in both numerator and denominator.

$$\frac{16}{8}\times 2$$

Divide 16 by 8 to get 2.

$$2\times 2$$

Multiply 2 and 2 to get 4.

$$4$$

Factor

$$2^{2}$$